New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Matrices and Determinants question

2015 · Shift 0 · Q32

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Matrices and Determinants
2015 · Shift 0 · Q32

Matrices and Determinants question

2015 · Shift 0 · Q32

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

If

A = \left[ {\begin{matrix} 1 & 2 & 2 \\ 2 & 1 & { - 2} \\ a & 2 & b \\ \end{matrix} } \right]

is a matrix satisfying the equation

A{A^T} = 9\text{I},

where

I

is

3 \times 3

identity matrix, then the ordered pair

(a, b)

is equal to :

A
$(2, 1)$
B
$(-2, -1)$
C
$(2, -1)$
D
$(-2, 1)$

More from Matrices and Determinants

The set of all values of $λ$ for which the system of linear equations: $2 x_{1} - 2 x_{2} + x_{3} = λ x_{1} 2 x_{1} - 3 x_{2} + 2 x_{3} = λ x_{2} - x_{1} + 2 x_{2} = λ x_{3}$ …2015 · MCQ
If $A$ is a $3 \times 3$ non-singular matrix such that $A A^{'} = A^{'} A$ and $B = A^{- 1} A^{'},$ then $B B^{'}$ equals:2014 · MCQ
If $α, β e 0,$ and $f (n) = α^{n} + β^{n}$ and $3 1 + f (1) 1 + f (2) 1 + f (1) 1 + f (2) 1 + f (3) 1 + f (2) 1 + f (3) 1 + f (4)$ …2014 · MCQ
The number of values of $k$ , for which the system of equations : $(k + 1) x + 8 y = 4 k k x + (k + 3) y = 3 k - 1$ has no solution, is2013 · MCQ
The number of values of $k$ for which the linear equations $4 x + k y + 2 z = 0, k x + 4 y + z = 0$ and $2 x + 2 y + z = 0$ possess a non-zero solution is :2011 · MCQ
Let $A$ and $B$ be two symmetric matrices of order $3$ . Statement - 1 : $A (B A)$ and $(A B) A$ are symmetric matrices. Statement - 2 : $B$ is symmetric matrix if matrix multiplication of $A$ with $B$ is commutative.2011 · MCQ
The number of $3 \times 3$ non-singular matrices, with four entries as $1$ and all other entries as $0$ , is :2010 · MCQ
Consider the system of linear equations; $x_{1} + 2 x_{2} + x_{3} = 3 2 x_{1} + 3 x_{2} + x_{3} = 3 3 x_{1} + 5 x_{2} + 2 x_{3} = 1$ The system has :2010 · MCQ