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
विकल्प
True
False
Advertisements
उत्तर
This statement is True.
Explanation:
Multiplication of matrices is distributive over subtraction.
APPEARS IN
संबंधित प्रश्न
State, whether the following statement is true or false. If false, give a reason.
If A and B are two matrices of orders 3 × 2 and 2 × 3 respectively; then their sum A + B is possible.
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.
State, whether the following statement is true or false. If false, give a reason.
Transpose of a square matrix is a square matrix.
Find x and y from the given equations:
`[(5, 2),(-1, y - 1)] - [(1, x - 1),(2, -3)] = [(4, 7),(-3, 2)]`
If A = `|("p","q"),(8,5)|` , B = `|(3"p",5"q"),(2"q" , 7)|` and if A + B = `|(12,6),(2"r" , 3"s")|` , find the values of p,q,r and s.
Evaluate the following :
`|(0 , 1 , 0),(2 , 0 , -3),(1 , 0 , -2)| |(1 , -2),(3 , 4),(0 , 0)|`
Using the truth table statement, examine whether the statement pattern (p → q) ↔ (∼ p v q) is a tautology, a contradiction or a contingency.
Choose the correct answer from the given four options :
If A = [aij]2×2 where aij = i + j, then A is equal to
If A is a matrix of order m × 3, B is a matrix of order 3 × 2 and R is a matrix of order 5 × n such that AB = R, the value of m and n are ______.
Which expression gives the order of a matrix?
