Chemistry-
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Question

 The products (A) and (B) are:

The correct answer is:

Related Questions to study

General
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If w is a complex cube root of unity, then the matrix A = open square brackets table row 1 cell w to the power of 2 end exponent end cell w row cell w to the power of 2 end exponent end cell w 1 row w 1 cell w to the power of 2 end exponent end cell end table close square brackets is a-

If w is a complex cube root of unity, then the matrix A = open square brackets table row 1 cell w to the power of 2 end exponent end cell w row cell w to the power of 2 end exponent end cell w 1 row w 1 cell w to the power of 2 end exponent end cell end table close square brackets is a-

maths-General
General
maths-

Matrix [1 2] open parentheses open square brackets table row cell negative 2 end cell 5 row 3 2 end table close square brackets open square brackets table row 1 row 2 end table close square brackets close parentheses is equal to-

Matrix [1 2] open parentheses open square brackets table row cell negative 2 end cell 5 row 3 2 end table close square brackets open square brackets table row 1 row 2 end table close square brackets close parentheses is equal to-

maths-General
General
maths-

If A –2B = open square brackets table row 1 5 row 3 7 end table close square brackets and 2A – 3B = open square brackets table row cell negative 2 end cell 5 row 0 7 end table close square brackets, then matrix B is equal to–

If A –2B = open square brackets table row 1 5 row 3 7 end table close square brackets and 2A – 3B = open square brackets table row cell negative 2 end cell 5 row 0 7 end table close square brackets, then matrix B is equal to–

maths-General
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General
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The value of x for which the matrix A = open square brackets table row 2 0 7 row 0 1 0 row 1 cell negative 2 end cell 1 end table close square brackets is inverse of B = open square brackets table row cell negative x end cell cell 14 x end cell cell 7 x end cell row 0 1 0 row x cell negative 4 x end cell cell negative 2 x end cell end table close square brackets is

The value of x for which the matrix A = open square brackets table row 2 0 7 row 0 1 0 row 1 cell negative 2 end cell 1 end table close square brackets is inverse of B = open square brackets table row cell negative x end cell cell 14 x end cell cell 7 x end cell row 0 1 0 row x cell negative 4 x end cell cell negative 2 x end cell end table close square brackets is

maths-General
General
maths-

The greatest possible difference between two of the roots if  theta element of  [0, 2straight pi] is

The greatest possible difference between two of the roots if  theta element of  [0, 2straight pi] is

maths-General
General
maths-

Statement I : open square brackets table row 5 0 0 row 0 3 0 row 0 0 2 end table close square brackets is a diagonal matrix.
Statement II : A square matrix A = (aij) is a diagonal matrix if aij = 0 .for all straight i times not equal to straight j

Statement I : open square brackets table row 5 0 0 row 0 3 0 row 0 0 2 end table close square brackets is a diagonal matrix.
Statement II : A square matrix A = (aij) is a diagonal matrix if aij = 0 .for all straight i times not equal to straight j

maths-General
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General
maths-

Let A be a 2 × 2 matrix with real entries. Let I be the 2 × 2 identity. Denote by tr(A), The sum of diagonal entries of A, Assume that A2 = I.
Statement-I :If Anot equal toI and Anot equal to– I, then det  A= – 1
Statement-II : If A not equal to I and A not equal to – I then tr(A)not equal to0.

Let A be a 2 × 2 matrix with real entries. Let I be the 2 × 2 identity. Denote by tr(A), The sum of diagonal entries of A, Assume that A2 = I.
Statement-I :If Anot equal toI and Anot equal to– I, then det  A= – 1
Statement-II : If A not equal to I and A not equal to – I then tr(A)not equal to0.

maths-General
General
maths-

Suppose A equals open square brackets table row 1 0 row 0 cell negative 1 end cell end table close square brackets, B equals open square brackets table row 2 0 row 0 cell negative 2 end cell end table close square brackets let x be a 2×2 matrix such that X to the power of straight primeAX = B
Statement-I : X is non singular & |x| = ±2
Statement-II : X is a singular matrix

Suppose A equals open square brackets table row 1 0 row 0 cell negative 1 end cell end table close square brackets, B equals open square brackets table row 2 0 row 0 cell negative 2 end cell end table close square brackets let x be a 2×2 matrix such that X to the power of straight primeAX = B
Statement-I : X is non singular & |x| = ±2
Statement-II : X is a singular matrix

maths-General
General
maths-

If 2 tan invisible function application A equals 3 tan invisible function application B comma then fraction numerator sin invisible function application 2 B over denominator 5 minus cos invisible function application 2 B end fractionis equal to

If 2 tan invisible function application A equals 3 tan invisible function application B comma then fraction numerator sin invisible function application 2 B over denominator 5 minus cos invisible function application 2 B end fractionis equal to

maths-General
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General
maths-

Statement-I : If A & B are two 3×3 matrices such that AB = 0, then A = 0 or B = 0
Statement-II : If A, B & X are three 3×3 matrices such that AX = B, |A| not equal to0, then X = A–1B

Statement-I : If A & B are two 3×3 matrices such that AB = 0, then A = 0 or B = 0
Statement-II : If A, B & X are three 3×3 matrices such that AX = B, |A| not equal to0, then X = A–1B

maths-General
General
maths-

Assertion (A): The inverse of the matrix open square brackets table row 1 3 5 row 2 6 10 row 9 8 7 end table close square brackets does not exist.
Reason (R) : The matrix open square brackets table row 1 3 5 row 2 6 10 row 9 8 7 end table close square brackets is singular. [becauseopen vertical bar table row 1 3 5 row 2 6 10 row 9 8 7 end table close vertical bar = 0, since R2 = 2R1]

Assertion (A): The inverse of the matrix open square brackets table row 1 3 5 row 2 6 10 row 9 8 7 end table close square brackets does not exist.
Reason (R) : The matrix open square brackets table row 1 3 5 row 2 6 10 row 9 8 7 end table close square brackets is singular. [becauseopen vertical bar table row 1 3 5 row 2 6 10 row 9 8 7 end table close vertical bar = 0, since R2 = 2R1]

maths-General
General
maths-

Assertion (A): open square brackets table row 5 0 0 row 0 3 0 row 0 0 9 end table close square brackets is a diagonal matrix
Reason (R) : A square matrix A = (aij) is a diagonal matrix if aij = 0 for all i not equal to j.

Assertion (A): open square brackets table row 5 0 0 row 0 3 0 row 0 0 9 end table close square brackets is a diagonal matrix
Reason (R) : A square matrix A = (aij) is a diagonal matrix if aij = 0 for all i not equal to j.

maths-General
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General
maths-

Consider open vertical bar table row cell a subscript 1 end subscript end cell cell b subscript 1 end subscript end cell cell c subscript 1 end subscript end cell row cell a subscript 2 end subscript end cell cell b subscript 2 end subscript end cell cell c subscript 2 end subscript end cell row cell a subscript 3 end subscript end cell cell b subscript 3 end subscript end cell cell c subscript 3 end subscript end cell end table close vertical bar= – 1, where ai. aj + bi. bj + ci.cj = open square brackets table row cell 0 semicolon end cell cell i not equal to j end cell row cell 1 semicolon end cell cell i equals j end cell end table close and i, j = 1,2,3
Assertion(A) : The value of open vertical bar table row cell a subscript 1 end subscript plus 1 end cell cell b subscript 1 end subscript end cell cell c subscript 1 end subscript end cell row cell a subscript 2 end subscript end cell cell b subscript 2 end subscript plus 1 end cell cell c subscript 2 end subscript end cell row cell a subscript 3 end subscript end cell cell b subscript 3 end subscript end cell cell c subscript 3 end subscript plus 1 end cell end table close vertical bar is equal to zero
Reason(R) : If A be square matrix of odd order such that AAT = I, then | A + I | = 0

Consider open vertical bar table row cell a subscript 1 end subscript end cell cell b subscript 1 end subscript end cell cell c subscript 1 end subscript end cell row cell a subscript 2 end subscript end cell cell b subscript 2 end subscript end cell cell c subscript 2 end subscript end cell row cell a subscript 3 end subscript end cell cell b subscript 3 end subscript end cell cell c subscript 3 end subscript end cell end table close vertical bar= – 1, where ai. aj + bi. bj + ci.cj = open square brackets table row cell 0 semicolon end cell cell i not equal to j end cell row cell 1 semicolon end cell cell i equals j end cell end table close and i, j = 1,2,3
Assertion(A) : The value of open vertical bar table row cell a subscript 1 end subscript plus 1 end cell cell b subscript 1 end subscript end cell cell c subscript 1 end subscript end cell row cell a subscript 2 end subscript end cell cell b subscript 2 end subscript plus 1 end cell cell c subscript 2 end subscript end cell row cell a subscript 3 end subscript end cell cell b subscript 3 end subscript end cell cell c subscript 3 end subscript plus 1 end cell end table close vertical bar is equal to zero
Reason(R) : If A be square matrix of odd order such that AAT = I, then | A + I | = 0

maths-General
General
maths-

Assertion(A) : The inverse of the matrix A = [Aij]n × n where aij = 0, i greater or equal than j is B = [aij–1]n× n 
Reason(R): The inverse of singular matrix does not exist

Assertion(A) : The inverse of the matrix A = [Aij]n × n where aij = 0, i greater or equal than j is B = [aij–1]n× n 
Reason(R): The inverse of singular matrix does not exist

maths-General
General
maths-

Assertion : The product of two diagonal matrices of order 3 × 3 is also a diagonal matrix
Reason : matrix multiplicationis non commutative

Assertion : The product of two diagonal matrices of order 3 × 3 is also a diagonal matrix
Reason : matrix multiplicationis non commutative

maths-General
parallel

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