If A - bmatrix 2 - 4B -2118Weginbmatrix 8-5-4lend bmatrix Find- AB -5 C3040 -1430- 14-3040 - 14D-30 - 52 1-40 - 14lendbmatrix

The correct option is A [ 30 amp; 52; 40 amp; 14 ] A=[ 3 amp; 7; 2 amp; 4 ], B= [ 0 amp; 2; 5 amp; 3 ] AB=[ 35 amp; ...

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Byju's Answer

Standard X

Mathematics

Addition and Subtraction of a Matrix

If A = bmatri...

Question

If $A = [\begin{matrix} 3 & 7 2 & 4 \end{matrix}], B = [\begin{matrix} 0 & 2 5 & 3 \end{matrix}]$ and $C = [\begin{matrix} 1 & - 5 - 4 & 6 \end{matrix}]$
Find: AB - 5C

$[\begin{matrix} 30 & 52 40 & - 14 \end{matrix}]$

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$[\begin{matrix} 30 & - 52 40 & 14 \end{matrix}]$

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$[\begin{matrix} - 30 & 52 40 & 14 \end{matrix}]$

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$[\begin{matrix} 30 & 52 - 40 & 14 \end{matrix}]$

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Solution

The correct option is A
$[\begin{matrix} 30 & 52 40 & - 14 \end{matrix}]$

$A = [\begin{matrix} 3 & 7 2 & 4 \end{matrix}], B = [\begin{matrix} 0 & 2 5 & 3 \end{matrix}]$

$A B = [\begin{matrix} 35 & 6 + 21 20 & 4 + 12 \end{matrix}] = [\begin{matrix} 35 & 27 20 & 16 \end{matrix}]$

$5 C = 5 [\begin{matrix} 1 & - 5 - 4 & 6 \end{matrix}] = [\begin{matrix} 5 & - 25 - 20 & 30 \end{matrix}]$

$A B - 5 C = [\begin{matrix} 35 & 27 20 & 16 \end{matrix}] - [\begin{matrix} 5 & - 25 - 20 & 30 \end{matrix}] = [\begin{matrix} 30 & 52 40 & - 14 \end{matrix}]$

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Similar questions

If A = $[\begin{matrix} 3 & 7 2 & 4 \end{matrix}], B = [\begin{matrix} 0 & 2 5 & 3 \end{matrix}]$ , and $C = [\begin{matrix} 1 & - 5 - 4 & 6 \end{matrix}]$ , find AB - 5C.

Which of the following are equal matrixes.

$A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$
$B = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 4 3 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$
$C = [\begin{matrix} 1 & 2 3 & 4 \end{matrix}]$
$D = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$
$E = [\begin{matrix} 1 & 3 2 & 4 \end{matrix}]$

If $A^{- 1} = ⎡ ⎢ ⎣ \begin{matrix} 3 & - 1 & 1 - 15 & 6 & - 5 5 & - 2 & 2 \end{matrix} ⎤ ⎥ ⎦$ and $B = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & - 2 - 1 & 3 & 0 0 & - 2 & 1 \end{matrix} ⎤ ⎥ ⎦$ , find $(A B)^{- 1}$ .

Given $A = [\begin{matrix} 2 & 0 - 1 & 7 \end{matrix}] a n d I = [\begin{matrix} 1 & 0 0 & 1 \end{matrix}]$ and $A^{2} = 9 A + m I$ . Find m.

Q. If

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 3 & - 4 5 & 6 \end{matrix} ⎤ ⎥ ⎦

and

B = [\begin{matrix} 4 & 5 & 6 7 & - 8 & 2 \end{matrix}]

will

A B

be equal to

B A

. Also find

A B

B A

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If A=[3724],B=[0253] and C=[1−5−46] Find: AB - 5C

The correct option is A [305240−14] A=[3724],B=[0253] AB=[356+21204+12]=[35272016] 5C=5[1−5−46]=[5−25−2030] AB−5C=[35272016]−[5−25−2030]=[305240−14]

If $A = [\begin{matrix} 3 & 7 2 & 4 \end{matrix}], B = [\begin{matrix} 0 & 2 5 & 3 \end{matrix}]$ and $C = [\begin{matrix} 1 & - 5 - 4 & 6 \end{matrix}]$
Find: AB - 5C