1.

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

Answer»

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} <klux>1</klux> & 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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Learn more from BRAINLY :-

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2. let A and B are square matrices such that AB=I then zero is an eigen value of

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