New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Matrices and Determinants question

2016 · 10 Apr · Shift 1 · Q24

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

PYQ Library
JEE Main
Mathematics
Matrices and Determinants
2016 · 10 Apr · Shift 1 · Q24

Matrices and Determinants question

2016 · 10 Apr · Shift 1 · Q24

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

If A =

\left[ {\begin{matrix} { - 4} & { - 1} \\ 3 & 1 \\ \end{matrix} } \right]

, then the determinant of the matrix (A2016 − 2A2015 − A2014) is :

A
2014
B
$-$ 175
C
2016
D
$-$ 25

More from Matrices and Determinants

Let A be a 3 $\times$ 3 matrix such that A2 $-$ 5A + 7I = 0 Statement - I : A $-$ 1 = $\frac{1}{7}$ (5I $-$ A). Statement - II : The polynomial A3 $-$ 2A2 $-$ 3A + I can be reduced to 5(A $-$ 4I). Then :2016 · MCQ
The system of linear equations $x + λ y - z = 0 λ x - y - z = 0 x + y - λ z = 0$ has a non-trivial solution for :2016 · MCQ
If $A = [5 a 3 - b 2]$ and $A$ adj $A = A A^{T},$ then $5 a + b$ is equal to :2016 · MCQ
If $A = 12 a 212 2 - 2 b$ is a matrix satisfying the equation $A A^{T} = 9 I,$ where $I$ is $3 \times 3$ identity matrix, then the…2015 · MCQ
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