Maths-
General
Easy
Question
The sum of the products of the elements of any row of a determinant A with the same row is always equal to
- 1
- 0
- |A|
The correct answer is: |A|
We know that the row to row multiplication of a determinant is always equal to the value of the determinant i.e., | A|.
Related Questions to study
Maths-
is divisor of
is divisor of
Maths-General
Maths-
If
,then the value of k is
If
,then the value of k is
Maths-General
Maths-
The value of the determinant
is
The value of the determinant
is
Maths-General
Maths-
If
the value of t is
If
the value of t is
Maths-General
Maths-
If
are unequal what is the condition that the value of the following determinant is zero ![capital delta equals open vertical bar table row a cell a to the power of 2 end exponent end cell cell a to the power of 3 end exponent plus 1 end cell row b cell b to the power of 2 end exponent end cell cell b to the power of 3 end exponent plus 1 end cell row c cell c to the power of 2 end exponent end cell cell c to the power of 3 end exponent plus 1 end cell end table close vertical bar](data:image/png;base64,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)
If
are unequal what is the condition that the value of the following determinant is zero ![capital delta equals open vertical bar table row a cell a to the power of 2 end exponent end cell cell a to the power of 3 end exponent plus 1 end cell row b cell b to the power of 2 end exponent end cell cell b to the power of 3 end exponent plus 1 end cell row c cell c to the power of 2 end exponent end cell cell c to the power of 3 end exponent plus 1 end cell end table close vertical bar](data:image/png;base64,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)
Maths-General
Maths-
If – 9 is a root of the equation
then the other two roots are
If – 9 is a root of the equation
then the other two roots are
Maths-General
Maths-
If
is a cube root of unity, then ![open vertical bar table row cell x plus 1 end cell omega cell omega to the power of 2 end exponent end cell row omega cell x plus omega to the power of 2 end exponent end cell 1 row cell omega to the power of 2 end exponent end cell 1 cell x plus omega end cell end table close vertical bar equals](data:image/png;base64,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)
If
is a cube root of unity, then ![open vertical bar table row cell x plus 1 end cell omega cell omega to the power of 2 end exponent end cell row omega cell x plus omega to the power of 2 end exponent end cell 1 row cell omega to the power of 2 end exponent end cell 1 cell x plus omega end cell end table close vertical bar equals](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
Maths-
In the expansion of
the coefficient of
will be
In the expansion of
the coefficient of
will be
Maths-General
Maths-
The value of
is equal to
The value of
is equal to
Maths-General
Maths-
The sum to infinity of the given series
is
The sum to infinity of the given series
is
Maths-General
Maths-
is defined for ![left parenthesis a greater than 0 right parenthesis](data:image/png;base64,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)
is defined for ![left parenthesis a greater than 0 right parenthesis](data:image/png;base64,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)
Maths-General
Maths-
The sum of the series![fraction numerator 1 over denominator 2.3 end fraction plus fraction numerator 1 over denominator 4.5 end fraction plus fraction numerator 1 over denominator 6.7 end fraction plus... equals](data:image/png;base64,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)
The sum of the series![fraction numerator 1 over denominator 2.3 end fraction plus fraction numerator 1 over denominator 4.5 end fraction plus fraction numerator 1 over denominator 6.7 end fraction plus... equals](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
Physics-
White light is incident normally on a thin film which has n = 1.5 and a thickness of 5000 Å. For what wavelengths in the visible spectrum (4000 – 7000 Å) will the intensity of the reflected light be a maximum?
White light is incident normally on a thin film which has n = 1.5 and a thickness of 5000 Å. For what wavelengths in the visible spectrum (4000 – 7000 Å) will the intensity of the reflected light be a maximum?
Physics-General