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

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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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Important Questions on Matrices

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IMPORTANT

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

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 10 - Matrices>Critical Thinking>Q 19

If the inverse of product of the matrix

B = [\begin{matrix} 2 & 6 & 4 \\ 1 & 0 & 1 \\ - 1 & 1 & - 1 \end{matrix}]

with a matrix

A

is

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

, then

A^{- 1}

equals

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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 20

If

P = [\begin{array}{l} 1 & 2 & 3 \\ 3 & 1 & 0 \\ 0 & 0 & 1 \end{array}], Q = [\begin{matrix} 1 & - 2 & - 3 \\ - 3 & 1 & 9 \\ 0 & 0 & - 5 \end{matrix}]

, then

(P Q)^{- 1}

equals to

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 10 - Matrices>Critical Thinking>Q 21

If

A = [\begin{array}{lr} 2 & 3 \\ 1 & - 2 \end{array}]

and

A^{- 1} = α A

, then

α =