Advertisements
Advertisements
Question
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
Options
True
False
Advertisements
Solution
This statement is True.
Explanation:
Multiplication of matrices is distributive over subtraction.
RELATED QUESTIONS
If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A + B – C
Wherever possible, write the following as a single matrix.
`[(2, 3, 4),(5, 6, 7)] - [(0, 2, 3),(6, -1, 0)]`
Find the values of x and y, if `|(3"x" - "y"),(5)| = |(7) , ("x + y")|`
If A = `|(5,"r"),("p",7)|` , c and if A + B = (9,7),(5,8) , find the values of p,q,r and s.
Write the negation of the following statements :
(a) Radha likes tea or coffee.
(b) `∃x cc` R such that x + 3 ≥ 10.
Find the adjoint of the matrix `"A" = [(2,-3),(3,5)]`
Solve the following minimal assignment problem :
| Machines | Jobs | ||
| I | II | III | |
| M1 | 1 | 4 | 5 |
| M2 | 4 | 2 | 7 |
| M3 | 7 | 8 | 3 |
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")^2)/(5 - "i")`
If `M xx [(3, 2),(-1, 0)] = [(3, -1)]`, the order of matrix M is ______.
