Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>Assignment>Q 14

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If a diagonal matrix is commutative with every matrix of the same order then it is necessarily

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Important Questions on Matrices

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Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>Assignment>Q 15

If

A = [\begin{array}{l} 1 & 0 \\ 1 & 1 \end{array}]

, then

A^{2008}

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>Assignment>Q 17

If

A

and

B

are two matrices such that

A B = B

and

B A = A

, then

A^{2} + B^{2}

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>Assignment>Q 18

[\begin{array}{l} 7 & 1 & 2 \\ 9 & 2 & 1 \end{array}] [\begin{array}{l} 3 \\ 4 \\ 5 \end{array}] + 2 [\begin{array}{l} 4 \\ 5 \end{array}]

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>Assignment>Q 19

If

f (x) = x^{2} + 4 x - 5

and

A = [\begin{matrix} 1 & 2 \\ 4 & - 3 \end{matrix}]

, then

f (A)

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>Assignment>Q 20

If

A

is a square matrix such that

A^{2} = I

, then

A^{- 1}

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>Assignment>Q 22

If the square matrices

A

and

B

are such that

A B = A

and

B A = B

, then

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Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>Assignment>Q 23

Which of the following about the trace of a matrix is false?

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Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>Assignment>Q 24

If

A = [\begin{matrix} a & b \end{matrix}], B = [\begin{matrix} - b & - a \end{matrix}]

and

C = [\begin{matrix} a \\ - a \end{matrix}]

, then correct statement is