Advertisements
Advertisements
प्रश्न
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
(A + B) . C = A . C + B . C
विकल्प
True
False
उत्तर
This statement is True.
Explanation:
Multiplication of matrices is distributive over addition.
APPEARS IN
संबंधित प्रश्न
State, whether the following statement is true or false. If false, give a reason.
Transpose of a square matrix is a square matrix.
If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A + B – C
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)
If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A – B + C
Evaluate the following :
`|(2 , 3),(-4 , 0)| |(3 , -2),(-1 , 4)|`
If P = `|(1 , 2),(2 , 1)|` and Q = `|(2 , 1),(1 , 2)|` find P (QP).
Let A = `|(3 , 2),(0 ,5)|` and B = `|(1 ,0),(1 ,2)|` , find (i) (A + B)(A - B) (ii) A2 - B2 . Is (i) equal to (ii) ?
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.
A, B and C are three matrices each of order 5; the order of matrix CA + B2 is ______.
