MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 10 - Matrices>Critical Thinking>Q 10

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If $A$ is a singular matrix of order $n$ , then $A (adj A)$ is

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Important Questions on Matrices

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 10 - Matrices>Critical Thinking>Q 11

If

A = [\begin{array}{l} a & b \\ c & d \end{array}]

, then

adj (adj A)

is equal to

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 10 - Matrices>Critical Thinking>Q 12

The inverse of the matrix

A = [\begin{matrix} 2 & 0 & - 1 \\ 5 & 1 & 0 \\ 0 & 1 & 3 \end{matrix}]

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 10 - Matrices>Critical Thinking>Q 13

The inverse of the matrix

A = [\begin{matrix} 1 & 1 & 1 \\ 6 & 7 & 8 \\ 6 & 7 & - 8 \end{matrix}]

using adjoint method is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 10 - Matrices>Critical Thinking>Q 14

If

D = diag [2, 3, 4]

, then

D^{- 1} =

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 10 - Matrices>Critical Thinking>Q 15

The matrix

A

satisfying

A [\begin{array}{l} 1 & 5 \\ 0 & 1 \end{array}] = [\begin{matrix} 3 & - 1 \\ 6 & 0 \end{matrix}]

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 10 - Matrices>Critical Thinking>Q 16

If product of matrix

A

with

[\begin{array}{l} 1 & 1 \\ 2 & 0 \end{array}]

is

[\begin{array}{l} 3 & 2 \\ 1 & 1 \end{array}]

, then

A^{- 1}

is given by

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 10 - Matrices>Critical Thinking>Q 17

If product of matrix

A

with

[\begin{matrix} 0 & 1 \\ 2 & - 4 \end{matrix}]

is

[\begin{array}{l} 3 & 2 \\ 1 & 1 \end{array}]

, then

A^{- 1}

is given by

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 10 - Matrices>Critical Thinking>Q 18

If

[\begin{array}{l} 2 & 1 \\ 7 & 4 \end{array}] A [\begin{matrix} - 3 & 2 \\ 5 & - 3 \end{matrix}] = [\begin{array}{l} 1 & 0 \\ 0 & 1 \end{array}]

, then matrix

A

equals