Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

(adj A^T) – (adj A)^T equals-

2 |A|
2 |A| I
zero matrix
Unit matrix

The correct answer is: zero matrix

we are asked to solve $left parenthesis a d j space A to the power of T right parenthesis space – space left parenthesis a d j space A right parenthesis to the power of T space$
$space a d j A to the power of T space space minus left parenthesis a d j A right parenthesis to the power of T space space space space space equals ∣ A to the power of T space ∣ left parenthesis A to the power of T space right parenthesis to the power of negative 1 end exponent minus left parenthesis ∣ A ∣ A to the power of negative 1 end exponent space right parenthesis to the power of T space space equals ∣ A ∣ to the power of T space space left parenthesis A to the power of negative 1 end exponent space right parenthesis to the power of T minus left parenthesis A to the power of negative 1 end exponent right parenthesis to the power of T space space ∣ A ∣ to the power of T space space space equals ∣ A ∣ to the power of T space left parenthesis left parenthesis A to the power of negative 1 end exponent right parenthesis to the power of T minus left parenthesis A to the power of negative 1 end exponent right parenthesis to the power of T right parenthesis space space space equals O$

Therefore the correct option is zero matrix

Related Questions to study

If A = $open square brackets table row 1 cell negative 2 end cell 3 row 4 0 cell negative 1 end cell row cell negative 3 end cell 1 5 end table close square brackets$ , then (adj A)₂₃ =

If A = $open square brackets table row 1 cell negative 2 end cell 3 row 4 0 cell negative 1 end cell row cell negative 3 end cell 1 5 end table close square brackets$ , then (adj A)₂₃ =

If A = $open square brackets table row 1 2 3 row 2 3 4 row 0 0 2 end table close square brackets$ , then the value of adj (adj A) is-

If A = $open square brackets table row 1 2 3 row 2 3 4 row 0 0 2 end table close square brackets$ , then the value of adj (adj A) is-

The number of values of $theta$ in [0, 2 $straight pi$ ] for which at least two roots are equal

The number of values of $theta$ in [0, 2 $straight pi$ ] for which at least two roots are equal

parallel

Let A be a square matrix. Then which of the following is not a symmetric matrix -

Let A be a square matrix. Then which of the following is not a symmetric matrix -

If A is a square matrix, then A– $straight A to the power of straight prime$ is -

If A is a square matrix, then A– $straight A to the power of straight prime$ is -

If A is symmetric matrix and B is a skew- symmetric matrix, then for n $element of$ N, false statement is -

If A is symmetric matrix and B is a skew- symmetric matrix, then for n $element of$ N, false statement is -

parallel

If A – $straight A to the power of straight prime$ = 0, then $straight A to the power of straight prime$ is -

If A – $straight A to the power of straight prime$ = 0, then $straight A to the power of straight prime$ is -

If A is a matrix of order 3 × 4, then both AB^T and B^TA are defined if order of B is -

If A is a matrix of order 3 × 4, then both AB^T and B^TA are defined if order of B is -

If A = $open square brackets table row cell cos invisible function application alpha end cell cell sin invisible function application alpha end cell row cell negative sin invisible function application alpha end cell cell cos invisible function application alpha end cell end table close square brackets$ , then $A A to the power of straight prime$ equals -

If A = $open square brackets table row cell cos invisible function application alpha end cell cell sin invisible function application alpha end cell row cell negative sin invisible function application alpha end cell cell cos invisible function application alpha end cell end table close square brackets$ , then $A A to the power of straight prime$ equals -

parallel

Consider the cubic equation $x cubed minus left parenthesis 1 plus cos space theta plus sin space theta right parenthesis x squared plus left parenthesis cos space theta sin space theta plus cos space theta plus sin space theta right parenthesis x minus sin space theta cos space theta equals 0$ whose roots are x₁, x₂, and x₃
The value of $x subscript 1 superscript 2 plus x subscript 2 superscript 2 plus x subscript 3 superscript 2$ equals

Consider the cubic equation $x cubed minus left parenthesis 1 plus cos space theta plus sin space theta right parenthesis x squared plus left parenthesis cos space theta sin space theta plus cos space theta plus sin space theta right parenthesis x minus sin space theta cos space theta equals 0$ whose roots are x₁, x₂, and x₃
The value of $x subscript 1 superscript 2 plus x subscript 2 superscript 2 plus x subscript 3 superscript 2$ equals

Let A be a square matrix. Then which of the following is not a symmetric matrix -

Let A be a square matrix. Then which of the following is not a symmetric matrix -

If A is a square matrix, then A– $straight A to the power of straight prime$ is -

If A is a square matrix, then A– $straight A to the power of straight prime$ is -

parallel

If A is symmetric matrix and B is a skew- symmetric matrix, then for n $element of$ N, false statement is -

If A is symmetric matrix and B is a skew- symmetric matrix, then for n $element of$ N, false statement is -

If A $negative A to the power of straight prime$ = 0, then $straight A to the power of straight prime$ is -

If A $negative A to the power of straight prime$ = 0, then $straight A to the power of straight prime$ is -

If A is a matrix of order 3 × 4, then both AB^Tand B^TA are defined if order of B is -

If A is a matrix of order 3 × 4, then both AB^Tand B^TA are defined if order of B is -

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.