EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>AMU-AT (B.Tech.) 2017>Q 4

EASY

AMU-AT (B.Tech.)

IMPORTANT

Earn 100

If $A$ is an orthogonal matrix, then

83.33% studentsanswered this correctly

Important Questions on Matrices and Determinants

MEDIUM

AMU-AT (B.Tech.)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>AMU-AT (B.Tech.) 2017>Q 5

If the system of equations

$2 x + a y + 6 z = 8$

$x + 2 y + b z = 5$

$x + y + 3 z = 4$

has a unique solution then

MEDIUM

AMU-AT (B.Tech.)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>AMU-AT (B.Tech.) 2017>Q 6

If

a, b, c

are roots of the equation

x^{3} + p x + q = 0,

then the value of

|\begin{array}{l} a & b & c \\ b & c & a \\ c & a & b \end{array}|

is

MEDIUM

AMU-AT (B.Tech.)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>AMU-AT (B.Tech.) 2017>Q 7

If

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

be such that

A^{- 1} = λ A .

Then the value of

λ

is

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AMU-AT (B.Tech.)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>AMU-AT (B.Tech.) 2017>Q 8

If

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

and

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

and

A^{2} = B,

then the value of

α

is