Let A - bmatrix 2 - 4 113 - 2end bmatrix - B - beginbmatrix 183 1-2 - 5 lendbmatrix Find the value of the following-A-B

A B =[ 2 amp; 4; 3 amp; 2 ] [ 1 amp; 3; 2 amp; 5 ]=[ 2 1 amp; 4 3; 3 ( 2) amp; 2 5 ]=[ 1 amp; 1; 5 amp; 3 ] If two matr ...

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Byju's Answer

Standard XII

Mathematics

Scalar Multiplication of a Matrix

Let A = bmatr...

Question

Let $A = [\begin{matrix} 2 & 4 3 & 2 \end{matrix}]$ , B= $[\begin{matrix} 1 & 3 - 2 & 5 \end{matrix}]$
Find the value of the following:
A-B

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Solution

$A - B = [\begin{matrix} 2 & 4 3 & 2 \end{matrix}] - [\begin{matrix} 1 & 3 - 2 & 5 \end{matrix}] = [\begin{matrix} 2 - 1 & 4 - 3 3 - (- 2) & 2 - 5 \end{matrix}] = [\begin{matrix} 1 & 1 5 & - 3 \end{matrix}]$

If two matrices have different orders then we can neither add nor subtract the matrices but we can multiply the matrices either the orders are same or number of columns of first matrix is equal to the number of rows of second matrix.

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Similar questions

Let $A = [\begin{matrix} 2 & 4 3 & 2 \end{matrix}], B = [\begin{matrix} 1 & 3 - 2 & 5 \end{matrix}], C = [\begin{matrix} - 2 & 5 3 & 4 \end{matrix}]$ . Find each of the following:
(i)A+B

(ii)A-B

(iii)3A-C

(iv)AB

(v)BA

Let $A = [\begin{matrix} 2 & 4 3 & 2 \end{matrix}], B = [\begin{matrix} 1 & 3 - 2 & 5 \end{matrix}],$
Find the value of the following:
AB

If $A = [\begin{matrix} 5 & 4 3 & - 1 \end{matrix}], B = [\begin{matrix} 2 & 1 0 & 4 \end{matrix}]$ and $C = [\begin{matrix} - 3 & 2 1 & 0 \end{matrix}]$ then find A + B - C

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

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

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

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

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

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

Let $A = [\begin{matrix} 2 & 4 3 & 2 \end{matrix}], C = [\begin{matrix} - 2 & 5 3 & 4 \end{matrix}]$ .

Find the value of following:
3A-C

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Let A=[2432], B=[13−25] Find the value of the following: A-B

A−B=[2432]−[13−25]=[2−14−33−(−2)2−5]=[115−3] If two matrices have different orders then we can neither add nor subtract the matrices but we can multiply the matrices either the orders are same or number of columns of first matrix is equal to the number of rows of second matrix.

Let $A = [\begin{matrix} 2 & 4 3 & 2 \end{matrix}]$ , B= $[\begin{matrix} 1 & 3 - 2 & 5 \end{matrix}]$
Find the value of the following:
A-B