Let A = begin{bmatrix} 4 & 6 & -1 3 & 0 & 2 | vedclass

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

Question

(C) To determine which expression is undefined,we check the dimensions of the matrices:$A$ is a $3 	imes 3$ matrix.$B$ is a $3 	imes 2$ matrix.$C$ i

Vedclass · Accepted Answer

$A + B'$

Vedclass · Answer

(C) To determine which expression is undefined,we check the dimensions of the matrices:$A$ is a $3 	imes 3$ matrix.$B$ is a $3 	imes 2$ matrix.$C$ is a $1 	imes 3$ matrix.$1$. For $B'B$: $B'$ is $2 	imes 3$ and $B$ is $3 	imes 2$. The product is defined ($2 	imes 2$ matrix).$2$. For $CAB$: $C$ is $1 	imes 3$,$A$ is $3 	imes 3$,and $B$ is $3 	imes 2$. The product $CA$ is $1 	imes 3$,and $(CA)B$ is $1 	imes 2$. This is defined.$3$. For $A + B'$: $A$ is $3 	imes 3$ and $B'$ is $2 	imes 3$. Matrix addition requires matrices to have the same dimensions. Since $3 	imes 3 
eq 2 	imes 3$,this expression is not defined.$4$. For $A^2 + A$: Since $A$ is a square matrix $(3 	imes 3)$,$A^2$ and $A$ are both $3 	imes 3$. This is defined.Therefore,the expression $A + B'$ is not defined.

Let $A = \begin{bmatrix} 4 & 6 & -1 \\ 3 & 0 & 2 \\ 1 & -2 & 5 \end{bmatrix}$,$B = \begin{bmatrix} 2 & 4 \\ 0 & 1 \\ -1 & 2 \end{bmatrix}$,and $C = \begin{bmatrix} 3 & 1 & 2 \end{bmatrix}$. The expression which is not defined is:

Similar Questions

$A$ square matrix $[a_{ij}]$ in which $a_{ij} = 0$ for $i \neq j$ and $a_{ij} = k$ (constant) for $i = j$ is called a

$\begin{bmatrix} 7 & 1 & 2 \\ 9 & 2 & 1 \end{bmatrix} \begin{bmatrix} 3 \\ 4 \\ 5 \end{bmatrix} + 2 \begin{bmatrix} 4 \\ 2 \end{bmatrix}$ is equal to

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

If $A$ and $B$ are two matrices and $(A + B)(A - B) = A^2 - B^2$,then

If $ A=\left[\begin{array}{cc}0 & 1 \\ 1 & 0\end{array}\right] $,then $ A^{2} $ is equal to:

Vedclass Test Series

Exam Paper Generator

Online Exam Module