If A- 1 1- 2 2 - B- 1 1- 3 4 - then find -AB-

A=[ 1 amp; 1; 2 amp; 2 ]B=[ 1 amp; 1; 3 amp; 4 ] AB=[ 1+3 amp; 1+4; 2+6 amp; 2+8 ] =[ 4 amp; 5; 8 amp; ...

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Equality of Matrices

If A=[ 1 1;...

Question

If $A = [\begin{matrix} 1 & 1 2 & 2 \end{matrix}], B = [\begin{matrix} 1 & 1 3 & 4 \end{matrix}]$ then find $| A B |$

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Solution

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A = [\begin{matrix} 1 & 1 2 & 2 \end{matrix}]

B = [\begin{matrix} - 1 & 1 1 & - 1 \end{matrix}]

d e t (A B) =

[\begin{matrix} 0 & 1 2 & 4 \end{matrix}]

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

C = [\begin{matrix} 1 & 0 1 & 0 \end{matrix}],

2 A + 3 B - C =

A = [123]

B = ⎡ ⎢ ⎣ \begin{matrix} 123 \end{matrix} ⎤ ⎥ ⎦

(A B)^{'}

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

B = ⎡ ⎢ ⎣ \begin{matrix} - 1 & - 2 & - 1 6 & 12 & 6 5 & 10 & 5 \end{matrix} ⎤ ⎥ ⎦

C = ⎡ ⎢ ⎣ \begin{matrix} - 1 & - 1 & 1 2 & 2 & - 2 - 3 & - 3 & 3 \end{matrix} ⎤ ⎥ ⎦,

a + b = 7

a b = 10

a - b

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