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.
Numerical:
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
o k( A + B) = kA + kB, o( k + l) A = k A + l A
Multiplication of 2 matrices Let take scenario where Amit wants to buy 5 eraser 7 pencils & Aditi wants to buy 3 eraser 4 pencils