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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
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उत्तर
This statement is True.
Explanation:
Multiplication of matrices is distributive over subtraction.
संबंधित प्रश्न
State, whether the following statement is true or false. If false, give a reason.
A column matrix has many columns and only one row.
If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A – C
Evaluate:
`2[(-1 0)/(2 -3)] +[(3 3)/(5 0)]`
Evaluate the following :
`|(6 , 1),(3 , 1),(2 , 4)| |(1 , -2 , 1),(2 , 1 , 3)|`
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 adjoint of the matrix `"A" = [(2,-3),(3,5)]`
If A = `[(1,0,0),(2,1,0),(3,3,1)]` then find A-1 by using elementary transformation .
Let `"M" xx [(1, 1),(0, 2)]` = [1 2] where M is a matrix.
- State the order of matrix M
- Find the matrix M
If A = `[(5, -2),(7, -0)]` and B = `[(8),(3)]`, then which of the following is not possible?
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.
