Advertisements
Advertisements
Question
If P = `|(1 , 2),(2 , 1)|` and Q = `|(2 , 1),(1 , 2)|` find P (QP).
Advertisements
Solution
P = `|(1 , 2),(2 , 1)|_(2 xx 2)` , Q = `|(2 , 1),(1 , 2)|_(2 xx 2)`
QP = `|(2 , 1),(1 , 2)| |(1 , 2),(2 , 1)|`
`= |(2 + 2, 4 + 1),(1 + 4, 2 + 2)|`
`= |(4 , 5),(5 , 4)|_(2 xx 2)`
P(QP) = `|(1 , 2),(2 , 1)| |(4 , 5),(5 , 4)|`
`= |(4 + 10 , 5 + 8),(8 + 5 , 10 + 4)|`
`= |(14 , 13),(13 , 14)|_(2 xx 2)`
APPEARS IN
RELATED QUESTIONS
Given : M = `[(5, -3),(-2, 4)]`, find its transpose matrix Mt. If possible, find M + Mt
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
A2 – B2 = (A + B) (A – B)
Find cofactors of the elements of the matrix A = `[(-1, 2),(-3, 4)]`.
If M =`|(8,3),(9,7),(4,3)|` and N = `|(4,7),(5,3),(10,1)|` find M - N
Evaluate the following :
`|(2,1) ,(3,2),(1 , 1)| |(1 , -2 , 1),(2 , 1 , 3)|`
Evaluate the following :
`|(0 , 1),(-1 , 2),(-2 , 0)| |(0 , -4 , 0),(3 , 0 , -1)|`
`[(0, 0, 0),(0, 0, 0)]`
Given `[(2, 1),(-3, 4)], "X" = [(7),(6)]` the order of the matrix X
Choose the correct answer from the given four options :
If A = [aij]2×2 where aij = i + j, then A is equal to
A, B and C are three matrices each of order 5; the order of matrix CA + B2 is ______.
