Advertisements
Advertisements
प्रश्न
If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|` find the value of P(Q + R)
उत्तर
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
संबंधित प्रश्न
State, whether the following statement is true or false. If false, give a reason.
The matrices A2 × 3 and B2 × 3 are conformable for subtraction.
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
Evaluate the following :
`|(0 , 1 , 0),(2 , 0 , -3),(1 , 0 , -2)| |(1 , -2),(3 , 4),(0 , 0)|`
If A = `[(7,1), (2,5)]` and B = `[(1,2), (3,-1)]` then verify that |AB| = |A| |B|.
If `"A" = [(1,2,-3),(5,4,0)] , "B" = [(1,4,3),(-2,5,0)]`, then find 2A + 3B.
Construct a 2 x 2 matrix whose elements aij are given by aij = 2i – j
Construct a matrix A = [aij]3 × 2 whose element aij is given by
aij = `(("i" + "j")^3)/5`
Suppose determinant of a matrix Δ = 0, then the solution
Event A: Order of matrix A is 3 × 5.
Event B: Order of matrix B is 5 × 3.
Event C: Order of matrix C is 3 × 3.
Product of which two matrices gives a square matrix.
