EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>TS EAMCET - 5 August 2021 Shift 1>Q 7

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IMPORTANT

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If $A = [\begin{matrix} 1 & - 1 & 1 \\ 2 & - 1 & 0 \\ 1 & 0 & 0 \end{matrix}]$ , then $A^{5} =$

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Important Questions on Matrices and Determinants

HARD

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>TS EAMCET - 5 August 2021 Shift 2>Q 8

Let $B = [\begin{array}{l} 1 & 2 \\ 0 & 1 \end{array}]$ and $A$ be a $2 \times 2$ matrix satisfying ${(A^{T})}^{- 1} = A .$

If $X = A B A^{T},$ then $A^{T} X^{2021} A =$

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>TS EAMCET 2020 (9-Sep Shift-1)>Q 9

If

A

is a

3 \times 3

matrix and the matrix obtained by replacing the elements of

A

with their corresponding cofactors is

[\begin{matrix} 1 & - 2 & 1 \\ 4 & - 5 & - 2 \\ - 2 & 4 & 1 \end{matrix}]

, then a possible value of the determinant of

A

is

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>TS EAMCET 2020 (9-Sep Shift-1)>Q 10

If

A = [\begin{array}{r} 3 & - 3 & 4 \\ 2 & - 3 & 4 \\ 0 & - 1 & 1 \end{array}]

then

{(A^{2})}^{- 1} =

EASY

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>TS EAMCET - 5 August 2021 Shift 1>Q 11

If

A = (\begin{array}{l} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 3 \end{array}),

then

adj (adj A)

is equal to

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>TS EAMCET - 5 August 2021 Shift 2>Q 12

If

A

is a

3 \times 3

matrix such that

| A | = 27, A d j (A) = k A^{T},

then

k^{2} - 3 k + 5 =

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>TS EAMCET 2020 (9-Sep Shift-1)>Q 13

The equations

x + y + z = 3, x + 2 y + 2 z = 6

and

x + a y + 3 z = b

have

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>TS EAMCET 2018 (04-May Shift-1)>Q 14

The following system of equations

$x + y + z = 9$

$2 x + 5 y + 7 z = 52$

$x + 7 y + 11 z = 77$

has

HARD

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>TS EAMCET 2019 (03-May Shift-2)>Q 15

Consider the following system of equations in matrix form

[\begin{matrix} 1 \\ 2 \\ λ \end{matrix}] [\begin{matrix} 1 & 2 & λ \end{matrix}] [\begin{matrix} x \\ y \\ z \end{matrix}] = 0

. Then which one of the following statements is true?