|Class 12 Maths Matrices||Multiplication of Matrices by scalar|
Multiplication of Matrices by scalar
If it is told that the apple & Orange that Tina, Abdul & Minu has is doubled, then we have to multiply each of these matrices elements by 2. Here 2 is a scalar quantity.
If A = [aij] m × n is a matrix and k is a scalar, then kA is another matrix which is obtained by multiplying each element of A by the scalar k.
The negative of a matrix is denoted by –A. We define –A = (– 1) A.
Solution: Solving we get
X=3, y=6, z=9 & t=6
Properties of scalar multiplication of a matrix
If A = [aij] & B = [bij] be two matrices of same order, say m × n, and k and l are scalars, then