Advertisements
Advertisements
Question
If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|` find the value of P(Q + R)
Advertisements
Solution
P =`|(1 , 2),(3 , 4)|_(2 xx 2)` , Q = `|(5 , 1),(7 , 4)|_(2 xx 2)` R = `|(2 , 1),(4 , 2)|_(2 xx 2)`
Q + R = `|(5 , 1),(7 , 4)| + |(2 , 1),(4 , 2)|`
`= |(7 , 2),(2 , 6)|`
P(Q + R) = `|(1 , 2),(3 , 4)| |(7 , 2),(2 , 6)|`
`= |(7 + 22 , 2 + 12),(21 + 44 , 6 + 24)|`
`= |(29,14),(65,30)|_(2 xx 2)`
APPEARS IN
RELATED QUESTIONS
Solve for a, b and c; if `[(a, a - b),(b + c, 0)] = [(3, -1),(2, 0)]`
Find x and y from the given equations:
`[(-8, x)] + [(y, -2)] = [(-3, 2)]`
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
A – B = B – A
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
(B . C) . A = B . (C . A)
Classify the following matrix :
`|(11 , 3 , 0),(21 , 8 , 4),(15,5,2)|`
If `"A" = [(1,2,-3),(5,4,0)] , "B" = [(1,4,3),(-2,5,0)]`, then find 2A + 3B.
`[(2 ,- 4),(0 ,0),(1 , 7)]`
Construct a 2 x 2 matrix whose elements aij are given by aij = i.j
Let `"M" xx [(1, 1),(0, 2)]` = [1 2] where M is a matrix.
- State the order of matrix M
- Find the matrix M
If A = `[(5, -2),(7, -0)]` and B = `[(8),(3)]`, then which of the following is not possible?
