Advertisements
Advertisements
Question
If `[(1, 2),(3, 3)] [(x, 0),(0, y)] = [(x, 0),(9, 0)]`find the values of x and y
Solution
Given
`[(1, 2),(3, 3)] [(x, 0),(0, y)] = [(x, 0),(9, 0)]`
⇒ `[(x + 0, 0 + 2y),(3x + 0, 0 + 3y)] = [(x, 0),(9, 0)]`
⇒ `[(x, 2y),(3x, 3y)] = [(x, 0),(9, 0)]`
Comparing the corresponding elements
2y = 0
⇒ y = 0
3x = 9
⇒ x = 3
Hence x = 3, y = 0.
APPEARS IN
RELATED QUESTIONS
If A = `[(1, 3),(2, 4)]`, B = `[(1, 2),(4, 3)]` and C = `[(4, 3),(1, 2)]`, find:
- (AB)C
- A(BC)
Is A(BC) = (AB)C?
Given A = `[(0, 4, 6),(3, 0, -1)]` and B = `[(0, 1),(-1, 2),(-5, -6)]`, find if possible A2
Solve for x and y:
`[(2, 5),(5, 2)][(x),(y)] = [(-7),(14)]`
`If A = [(1, -2 ,1), (2,1,3)] and B= [(2,1),(3,2),(1,1)]`;
Write down the product matrix AB.
Given `[(2, 1),(-3, 4)] "X" = [(7),(6)]`.
the order of the matrix X.
If A = `[(1, 2),(3, 4)] and "B" = [(2, 1),(4, 2)], "C" = [(5, 1),(7, 4)]`, compute A(B + C)
If A = `[(1, 0),(0, -1)]`, find A2 and A3.Also state that which of these is equal to A
If `[(a, 1),(1, 0)] [(4, 3),(-3, 2)] = [(b, 11),(4, c)]` find a,b and c
Choose the correct answer from the given four options :
If A = `[(0, 0),(1, 0)]`, then A2 =
If A = `[(3, 2),(0, 5)] and "B" = [(1, 0),(1, 2)]` find the each of the following and state it they are equal: (A + B)(A – B)
