5. Multiplication Of A Matrices By A Scalar :
If A =
K A =
Examples:-
(1) Solve the equation,
[ x 2y 3z ] – 2 [ y z – x ] + 3 [–z x y ] = [–12, 1, 17 ]
on adding 3 matrices of LHS
[ x – 2y – 3z 2 y –2 z + 3 x 3z +2x + 3 y ] = [–12, 1, 17 ]
(2) If A=
and B=
then find 2A + 3B – 5 I
[Hint: 2A + 3B – 5 I =
(3) Find the matrices X and Y if 2X – Y =
(4) A matrix has 12 elements. Number of possible it can have. [Ans. 6]
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