Which of the following relations regarding th | vedclass

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

Question

(B) The correct property for the transpose of a product of matrices is $(AB)' = B'A'$. Option $(B)$ states $(AB \dots L)' = A'B' \dots L'$,which is in

Vedclass · Accepted Answer

$(AB \dots L)' = A'B' \dots L'$

Vedclass · Answer

(B) The correct property for the transpose of a product of matrices is $(AB)' = B'A'$. Option $(B)$ states $(AB \dots L)' = A'B' \dots L'$,which is incorrect because the order of matrices is reversed in the transpose of a product. Option $(D)$ is also technically written incorrectly in the prompt as $(A)' = A$,but assuming it refers to the double transpose property $(A')' = A$,it is a standard identity. Given the options,$(B)$ is the fundamentally incorrect relation regarding matrix algebra.

Which of the following relations regarding the transpose of a matrix is incorrect?

Similar Questions

If $A = \begin{bmatrix} 5 & 2x+3 \\ x-2 & x+1 \end{bmatrix}$ is a symmetric matrix,then $x$ is equal to:

If $A = \begin{bmatrix} \cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha \end{bmatrix}$,then $A + A^{\prime} = I$,if the value of $\alpha$ is

Express the matrix $B=\left[\begin{array}{rrr}2 & -2 & -4 \\ -1 & 3 & 4 \\ 1 & -2 & -3\end{array}\right]$ as the sum of a symmetric and a skew symmetric matrix.

Show that the matrix $A = \begin{bmatrix} 0 & 1 & -1 \\ -1 & 0 & 1 \\ 1 & -1 & 0 \end{bmatrix}$ is a skew-symmetric matrix.

If $A$ is a symmetric matrix and $B$ is a skew-symmetric matrix such that $A + B = \begin{bmatrix} 2 & 3 \\ 5 & -1 \end{bmatrix}$,then $AB$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module