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 . B – A . C
पर्याय
True
False
उत्तर
This statement is True.
Explanation:
Multiplication of matrices is distributive over subtraction.
APPEARS IN
संबंधित प्रश्न
Solve for a, b and c; if `[(a, a - b),(b + c, 0)] = [(3, -1),(2, 0)]`
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
(A – B)2 = A2 – 2A . B + B2
Find the inverse of the matrix A=`[[1,2],[1,3]]` using elementry transformations.
Classify the following matrix :
`|(1 , 1),(0,9)|`
Classify the following matrix :
`|(11 , 3 , 0),(21 , 8 , 4),(15,5,2)|`
If M =`|(8,3),(9,7),(4,3)|` and N = `|(4,7),(5,3),(10,1)|` find M - N
If A = `|(5,"r"),("p",7)|` , c and if A + B = (9,7),(5,8) , find the values of p,q,r and s.
If A = `|(1,3),(3,2)|` and B = `|(-2,3),(-4,1)|` find AB
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) ?
Choose the correct answer from the given four options :
If A = [aij]2×2 where aij = i + j, then A is equal to