Please solve RD Sharma class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 1 maths textbook solution
Answer:
(a,b) = (2,4)
Hint:
We know that, here, we use the basic multiplication rules of two matrixes
Given:
A is order of a × 3 and B is order of 3 × b order of matrix.
Solution:
Here, we know that matrix multiplication is possible only if number of rows in second matrix are same number of columns in first matrix, i.e. order of 1st matrix is m X n and order of 2nd matrix is nXp.
And, the resultant matrix is order of m X p, I.e. number of rows=m and number of columns=p
So,
Here A is a × 3
B is 3 × b
And, AB is 2 × 4
So, A is 2 × 3
B is 3 × 4
So, (a,b) = (2,4)