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
State, whether the following statement is true or false. If false, give a reason.
Transpose of a 2 × 1 matrix is a 2 × 1 matrix.
If P= (8,5),(7,2) find : P + Pt
If P = `|(8,5),(7,2)|` find P - Pt
Evaluate the following :
`|(2 , 3),(-4 , 0)| |(3 , -2),(-1 , 4)|`
Find the inverse of the matrix `[ (1, 2, 3), (1, 1, 5), (2, 4, 7)]` by using the adjoint method.
`
Solve the equation x + y = 4 and 2x - y = 5 using the method of reduction.
Solve the equations x + y = 4 and 2x - y = 5 using the method of reduction.
`[(0, 0, 0),(0, 0, 0)]`
Let `"M" xx [(1, 1),(0, 2)]` = [1 2] where M is a matrix.
- State the order of matrix M
- Find the matrix M
Construct a matrix A = [aij]3 × 2 whose element aij is given by
aij = `(("i" + "j")^3)/5`
