Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>EXERCISE>Q 6

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If $A = (\begin{matrix} 2 & - 1 \\ - 1 & 2 \end{matrix})$ and $l$ is the unit matrix of order $2,$ then $A^{2}$ equals

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Important Questions on Matrices

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Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>EXERCISE>Q 7

Assuming the sums and products given below are defined, which of the following is not true for matrices?

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Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>EXERCISE>Q 8

If

P = (\begin{matrix} i & 0 & - i \\ 0 & - i & i \\ - i & i & 0 \end{matrix})

and

Q = (\begin{matrix} - i & i \\ 0 & 0 \\ i & - i \end{matrix})

, then

P Q

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>EXERCISE>Q 9

If

A = [\begin{matrix} 1 & - 2 \\ 3 & 0 \end{matrix}], B = [\begin{matrix} - 1 & 4 \\ 2 & 3 \end{matrix}], C = [\begin{matrix} 0 & - 1 \\ 1 & 0 \end{matrix}],

then

5 A - 3 B - 2 C =

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Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>EXERCISE>Q 10

If

A

is a square matrix, then which of the following is not symmetric?

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Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>EXERCISE>Q 11

For any square matrix

A, A A^{T}

is a

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Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>EXERCISE>Q 12

A square matrix

A = [a_{i j}]

in which

a_{i j} = 0

for

i \neq j

and

a_{i j} = k

(Constant) for

i = j

is called a

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Gamma Question Bank for Engineering Mathematics>Chapter 19 - Matrices>EXERCISE>Q 13

For a matrix

A, A I = A

and

A A^{T} = I

is true then

A

is necessarily

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

A square matrix

A = [\begin{matrix} \cos θ & - \sin θ \\ \sin θ & \cos θ \end{matrix}],

then which of the following statement is not correct?