Advertisements
Advertisements
Question
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
A . (B – C) = A . B – A . C
Options
True
False
Advertisements
Solution
This statement is True.
Explanation:
Multiplication of matrices is distributive over subtraction.
APPEARS IN
RELATED QUESTIONS
If A = `[(8, -3)]` and B = `[(4, -5)]`; find A + B
Wherever possible, write the following as a single matrix.
`[(2, 3, 4),(5, 6, 7)] - [(0, 2, 3),(6, -1, 0)]`
Wherever possible, write the following as a single matrix.
`[(0, 1, 2),(4, 6, 7)] + [(3, 4),(6, 8)]`
Find the inverse of the matrix A=`[[1,2],[1,3]]` using elementry transformations.
Classify the following rnatrix :
`|(2,1),(0 , 6),(8 , 7) |`
Find the values of a and b) if [2a + 3b a - b] = [19 2].
Evaluate the following :
`|(2,1) ,(3,2),(1 , 1)| |(1 , -2 , 1),(2 , 1 , 3)|`
If A = `[(1,2,3), (2,k,2), (5,7,3)]` is a singular matrix then find the value of 'k'.
If `"A" = [(1,2,-3),(5,4,0)] , "B" = [(1,4,3),(-2,5,0)]`, then find 2A + 3B.
Let `"M" xx [(1, 1),(0, 2)]` = [1 2] where M is a matrix.
- State the order of matrix M
- Find the matrix M
