If A- 2 3- 5 7 -B- 0 4- -1 7 -C- 1 0- -1 4 - find AC-B2-10C

AC+B^2 10C ⇒ AC=[ 2 amp;3; 5 amp; 7 ][ 1 amp;0; 1 amp;4 ] ⇒ AC=[ 1 amp;12; 2 amp; 28 ] ⇒ B^2=[ 0 amp;4; ...

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Properties of Determinants

If A=[ 2 3;...

Question

If $A = [\begin{matrix} 2 & 3 5 & 7 \end{matrix}], B = [\begin{matrix} 0 & 4 - 1 & 7 \end{matrix}], C = [\begin{matrix} 1 & 0 - 1 & 4 \end{matrix}]$ , find $A C + B^{2} - 10 C$

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A = [\begin{matrix} 2 & 3 5 & 7 \end{matrix}] B = [\begin{matrix} 0 & 4 - 1 & 7 \end{matrix}] C = [\begin{matrix} 1 & 0 - 1 & 4 \end{matrix}]

A C + B^{2} - 10 C

(a + b + c) = 14

(a^{2} + b^{2} + c^{2}) = 74

(a c + b c + c a)

If $A = [\begin{matrix} 2 & - 1 3 & 2 \end{matrix}]$ , $B = [\begin{matrix} 0 & 4 - 1 & 7 \end{matrix}]$ . Find $3 A^{2} - 2 B + 1$ .

[\begin{matrix} 2 & - 1 \\ 3 & 2 \end{matrix}]

[\begin{matrix} 0 & 4 \\ - 1 & 7 \end{matrix}]

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

b

b

a = 8

c = 17

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