A and B are two given matrices such that the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Given that the order of $A$ is $3 	imes 4$,therefore the order of $A'$ is $4 	imes 3$.Since $A'B$ is defined,let the order of $B$ be $m 	imes n

Vedclass · Accepted Answer

order of $B'A$ is $4 	imes 4$

Vedclass · Answer

(B) Given that the order of $A$ is $3 	imes 4$,therefore the order of $A'$ is $4 	imes 3$.Since $A'B$ is defined,let the order of $B$ be $m 	imes n$. For $A'B$ to be defined,the number of columns in $A'$ must equal the number of rows in $B$. Thus,$m = 3$.Now,consider $BA'$. For $BA'$ to be defined,the number of columns in $B$ must equal the number of rows in $A'$. Since $A'$ is $4 	imes 3$,the number of rows is $4$. Thus,$n = 4$.Therefore,the order of $B$ is $3 	imes 4$.Consequently,the order of $B'$ is $4 	imes 3$.Finally,the order of $B'A$ is $(4 	imes 3) 	imes (3 	imes 4) = 4 	imes 4$.

$A$ and $B$ are two given matrices such that the order of $A$ is $3 \times 4$. If $A'B$ and $BA'$ are both defined,then:

Similar Questions

If $A = \begin{bmatrix} 2 & 2 \\ -3 & 2 \end{bmatrix}$ and $B = \begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}$,then $(B^{-1}A^{-1})^{-1} = $

If $A = \begin{bmatrix} 3 & -2 \\ 4 & -2 \end{bmatrix}$ and $I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$,find $k$ such that $A^{2} = kA - 2I$.

If $F(x) = \begin{bmatrix} \cos x & -\sin x & 0 \\ \sin x & \cos x & 0 \\ 0 & 0 & 1 \end{bmatrix}$,show that $F(x) F(y) = F(x+y)$.

$A$ row matrix has only

If $A = \begin{bmatrix} 1 & 0 & 0 \\ 2 & 1 & 0 \\ -3 & 2 & 1 \end{bmatrix}$ and $B = \begin{bmatrix} 1 & 0 & 0 \\ -2 & 1 & 0 \\ 7 & -2 & 1 \end{bmatrix}$,then $AB$ equals

Vedclass Test Series

Exam Paper Generator

Online Exam Module