12 If A = [35] and B = 4, is the pr...
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12 If A = [35] and B = 4, is the product AB possible ? Give a reason. If yes, find AB.

11th - 12th Class
Maths
Solution
79
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4.0 (1 ratings)
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Ulinen [ A=left[begin{array}{ll} 3 & 5 4 & -2 end{array}right] times B=left[begin{array}{l} 2 4 end{array}right] ] Here order of A is ( 2 times 2 ) 8 Orraler of ( B ) is ( 2 times 1 ) So they qire contomal for the produet of ( A B ) of order ( 2 times 1 . ) Now, [ begin{aligned} A B &=left[begin{array}{lc} 3 & 5 4 & -2 end{array}right]left[begin{array}{l} 2 4 end{array}right)_{2 x_{1}} =left[begin{array}{l} 3 times 2+5 times 4 2 times 4-2 times 4 end{array}right]_{2 x_{1}} =left[begin{array}{lll} 6 & +20 8 & -9 end{array}right]_{2 x} end{aligned} ] ( =left{begin{array}{l}2 mathrm{c} 0end{array}right]_{2 times 1}, underline{A} )
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