If A - begin bmatrix 0 - 213 - 5lend bmatrix - B - beginbmatrix 3 - 4 - 5112 - 3 - 1111 - 3 - 7lend bmatrix then A - B -A- - 3 6- 5 8 -B- - 0 2- 3 5 -C- NoneD - 3 5- 6 8 -

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Standard IX

Mathematics

Addition and Subtraction of a Matrix

If A =√ begin...

Question

If A = $[\begin{matrix} 0 & 2 3 & 5 \end{matrix}]$ , B = $⎡ ⎢ ⎣ \begin{matrix} 3 & 4 & 5 2 & 3 & 1 1 & 3 & 7 \end{matrix} ⎤ ⎥ ⎦$ then A + B =

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Solution

The correct option is D
None

We discussed that two matrices can only be added if their orders are same. Here A has order 2 $\times$ 2 and B has order 3 $\times$ 3. So they cannot be added. Hence d is the correct answer.

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Similar questions

If A = $[\begin{matrix} 0 & 2 3 & 5 \end{matrix}]$ , B = $⎡ ⎢ ⎣ \begin{matrix} 3 & 4 & 5 2 & 3 & 1 1 & 3 & 7 \end{matrix} ⎤ ⎥ ⎦$ , then A + B =

If $A = [\begin{matrix} 0 & 2 3 & 5 \end{matrix}]$ , $B = ⎡ ⎢ ⎣ \begin{matrix} 3 & 4 & 5 2 & 3 & 1 1 & 3 & 7 \end{matrix} ⎤ ⎥ ⎦$ , then A + B =

If A = $[\begin{matrix} 0 & 2 3 & 5 \end{matrix}]$ , B = $⎡ ⎢ ⎣ \begin{matrix} 3 & 4 & 5 2 & 3 & 1 1 & 3 & 7 \end{matrix} ⎤ ⎥ ⎦$ , then A + B =

If $A^{'} = ⎡ ⎢ ⎣ \begin{matrix} 3 & 4 - 1 & 2 0 & 1 \end{matrix} ⎤ ⎥ ⎦$ and $B = [\begin{matrix} - 1 & 2 & 1 1 & 2 & 3 \end{matrix}]$ , then verify that
(ii)(A-B)'=A'-B'

Compute the indicated products.
$(i) [\begin{matrix} a & b - b & a \end{matrix}] [\begin{matrix} a & - b b & a \end{matrix}]$

$(i i) ⎡ ⎢ ⎣ \begin{matrix} 123 \end{matrix} ⎤ ⎥ ⎦ [234]$

$(i i i) [\begin{matrix} 1 & - 2 2 & 3 \end{matrix}] [\begin{matrix} 1 & 2 & 3 2 & 3 & 1 \end{matrix}]$

$(i v) ⎡ ⎢ ⎣ \begin{matrix} 2 & 3 & 4 3 & 4 & 5 4 & 5 & 6 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 1 & - 3 & 5 0 & 2 & 4 3 & 0 & 5 \end{matrix} ⎤ ⎥ ⎦$

$(v) ⎡ ⎢ ⎣ \begin{matrix} 2 & 1 3 & 2 - 1 & 1 \end{matrix} ⎤ ⎥ ⎦ [\begin{matrix} 1 & 0 & 1 - 1 & 2 & 1 \end{matrix}]$

$(v i) [\begin{matrix} 3 & - 1 & 3 - 1 & 0 & 2 \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} 2 & - 3 1 & 0 3 & 1 \end{matrix} ⎤ ⎥ ⎦$

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If A = [0235], B = ⎡⎢⎣345231137⎤⎥⎦ then A + B =

The correct option is D None We discussed that two matrices can only be added if their orders are same. Here A has order 2 × 2 and B has order 3 × 3. So they cannot be added. Hence d is the correct answer.

If A = $[\begin{matrix} 0 & 2 3 & 5 \end{matrix}]$ , B = $⎡ ⎢ ⎣ \begin{matrix} 3 & 4 & 5 2 & 3 & 1 1 & 3 & 7 \end{matrix} ⎤ ⎥ ⎦$ then A + B =

The correct option is D
None

We discussed that two matrices can only be added if their orders are same. Here A has order 2 $\times$ 2 and B has order 3 $\times$ 3. So they cannot be added. Hence d is the correct answer.