Advertisements
Advertisements
Question
Solve for a, b and c; if `[(-4, a + 5),(3, 2)] = [(b + 4, 2),(3, c- 1)]`
Advertisements
Solution
If two matrices are equal, then their corresponding elements are also equal.
a + 5 = 2 `\implies` a = – 3
– 4 = b + 4 `\implies` b = – 8
2 = c – 1 `\implies` c = 3
APPEARS IN
RELATED QUESTIONS
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.
If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A – C
Find x and y from the given equations:
`[(-8, x)] + [(y, -2)] = [(-3, 2)]`
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)
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) ?
If A = `[(7,1), (2,5)]` and B = `[(1,2), (3,-1)]` then verify that |AB| = |A| |B|.
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 ______.
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.
Which statement defines a matrix?
Which expression gives the order of a matrix?
