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if A=[{:(1,2,3),(4,5,6):}]and B=[{:(-3,-...

if `A=[{:(1,2,3),(4,5,6):}]and B=[{:(-3,-2),(0,1),(-4,-5):}],` then find AB and BA ,

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The correct Answer is:
N/a
`:'` No. of columns in A=No . Of rows in B .
`therefore ` AB exists .
`AB=[{:(1,2,3),(4,5,6):}][{:(-3,-2),(0,1),(-4,-5):}]`
`=[{:(1(-3)+2(0)+3(-4),1(-2)+2(1) +3(-5)),(4(-3)+5(0)+6(-4),4(-2)+5(1)+6(-5)):}]`
`=[{:(-3+0-10,-2+2-15),(-12+0-24,-8+5-30):}]=[{:(-15,-15),(-36,-33):}].`
Now ,No , of columns in B=N of rows in A.
`therefore ` BA exists.
`BA=[{:(-3,-2),(0,1),(-4,-5):}][{:(1,2,3),(4,5,6):}]`
`[{:(-3(1) +(-2).4,(-3).2+(-2).5(-3).3+(-2).6),(0(1)+1.(4),0.2+1.50.3+1.6),(-4(1)+(-5).4,-4.2+(-5).5-4.3+(-5).6):}]`
`=[{:(-3-8,-6-10,-9-12),(0+4,0+5,0+6),(-4-20,-8-25,-12-30):}]`
`=[{:(-11,-16,-21),(4,5,6),(-24,-33,-42):}].`
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