MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 10 - Matrices>Competitive Thinking>Q 5

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If the inverse of the matrix $[\begin{matrix} α & 14 & - 1 \\ 2 & 3 & 1 \\ 6 & 2 & 3 \end{matrix}]$ does not exist, then the value of $α$ 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>Competitive Thinking>Q 6

If

A = [\begin{array}{l} 1 & 1 & 0 \\ 2 & 1 & 5 \\ 1 & 2 & 1 \end{array}]

, then

a_{11} A_{21} + a_{12} A_{22} + a_{13} A_{23} =

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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>Competitive Thinking>Q 7

Matrix

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

, then the value of

a_{31} A_{31} + a_{32} A_{32} + a_{33} A_{33}

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>Competitive Thinking>Q 8

If

X = [\begin{matrix} - x & - y \\ z & t \end{matrix}]

, then transpose of

adj X

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>Competitive Thinking>Q 9

Let

A = [\begin{matrix} 1 & 0 & 0 \\ 5 & 2 & 0 \\ - 1 & 6 & 1 \end{matrix}]

, then the adjoint of

A

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>Competitive Thinking>Q 10

If

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

, then

adj (3 A^{2} + 12 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>Competitive Thinking>Q 11

If

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

and

C = 5 A

, then

\frac{| adj B |}{| C |} =

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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>Competitive Thinking>Q 12

If

A = [\begin{array}{l} 3 & 2 \\ 1 & 4 \end{array}]

, then

A (adj A) =

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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>Competitive Thinking>Q 13

If

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

, then

A (adj A) =