If A- - 2 -3- 4 1 - B- - 2 3- 5 0 - and C- - -1 2- 0 5 - then find AB-C-

B+C= [ 2 amp; 3 #160; #160;; 5 amp; 0 #160; #160; ] + [ 1 amp; 2 #160; #160;; 0 amp; 5 #160; #160; ] = [ 1 amp; 5 ...

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Equality of Matrices

If A= [ 2 -3...

Question

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

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Solution

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A =

[\begin{matrix} 2 & - 3 4 & 1 \end{matrix}], B = [\begin{matrix} 2 & 3 5 & 0 \end{matrix}]

C = [\begin{matrix} - 1 & 2 0 & 5 \end{matrix}]

A (B + C)

a^{2} + b^{2} + c^{2} = 250

a b + b c + c a = 3

a + b + c

a + b + c = 11

a^{2} + b^{2} + c^{2} = 81

a b + b c + c a

a + b + c = 9

a b + b c + c a = 15

a^{2} + b^{2} + c^{2}

a + b + C = 12

a^{2} + b^{2} + c^{2} = 50

a b + b c + a c

a^{3} + b^{3} + c^{3} - 3 a b c

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