If $A=\left[\begin{array}{cc}-1& 2\\ 3& -4\end{array}\right]$, then element $a_{21}$ of $A^2$ is

Important Questions on Matrices & Determinants

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 4 - Matrices & Determinants>Exercise 1>Q 24

If $A=\left[\begin{array}{ll}1& 2\\ 3& 0\end{array}\right]$ and $B=\left[\begin{array}{ll}3& 4\\ 1& 6\end{array}\right]$, then ${\left(AB\right)}^T$ equals

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 4 - Matrices & Determinants>Exercise 1>Q 25

If $A=\left[\begin{array}{lll}1& 0& 3\\ 2& 1& 1\\ 0& 0& 2\end{array}\right],$ then $\left|\mathrm{adj}\left(\mathrm{adj} A\right)\right|$ is equal

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 4 - Matrices & Determinants>Exercise 1>Q 26

If $A$ and $B$ are square matrices of order $3$ then

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 4 - Matrices & Determinants>Exercise 1>Q 27

If $A$ and $B$ are two matrices such than rank of $A=m$ and rank of $B=n$, then

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 4 - Matrices & Determinants>Exercise 1>Q 28

If the trace of the matrix $A=\left[\begin{array}{cccc}x-1& 0& 2& 5\\ 3& x^2-2& 4& 1\\ -1& -2& x-3& 1\\ 2& 0& 4& x^2-6\end{array}\right]$ is $0$, then $x$ is equal to

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 4 - Matrices & Determinants>Exercise 1>Q 29

If $\mathrm{\Delta }=\left|\begin{array}{lll}a& b& c\\ x& y& z\\ p& q& r\end{array}\right|$, then $\left|\begin{array}{lll}ka& kb& kc\\ kx& ky& kz\\ kp& kq& kr\end{array}\right|$ equals

HARD

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 4 - Matrices & Determinants>Exercise 1>Q 30

If $A=\left[\begin{array}{ll}1& 0\\ 1& 1\end{array}\right]$, then $A^{-n}$ is equal to

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 4 - Matrices & Determinants>Exercise 1>Q 31

If $a, b$ and $c$ are in $\mathrm{AP}$, then determinant $\left|\begin{array}{lll}x+2& x+3& x+2a\\ x+3& x+4& x+2b\\ x+4& x+5& x+2c\end{array}\right|$ is