Question

For two matrices A and B of the same order, A-B is not equal to

Answer 1

SOLUTION

TO CHECK

The statement are True or False:

If A and B are two matrices of the same order, then

A – B ≠ B – A.

EVALUATION

Here it is given that A and B are two matrices of the same order

Suppose A and B are two matrices both are of order 2 × 2

$A= \displaystyle\begin{pmatrix} 1 & 2\\ 3& 4\end{pmatrix}$

$B = \displaystyle\begin{pmatrix} 5 & 6\\ 7 & 8 \end{pmatrix}$

Now

$A - B = \displaystyle\begin{pmatrix} - 4 & - 4\\ - 4 & - 4 \end{pmatrix}$

$B - A = \displaystyle\begin{pmatrix} 4 & 4\\ 4 & 4 \end{pmatrix}$

So A – B ≠ B – A.

So the statement is True

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