Advertisements
Advertisements
Question
Find x and y if `[(x,3x),(y, 4y)] = [(5),(12)]`
Solution
`[(x,3x),(y,4y)][(2),(1)] = [(5),(12)]`
`=> [(2x + 3x),(2y + 4y)] = [(5),(12)]`
`=> [(5x),(6y)] = [(5),(12)]`
`∴ 5x = 15 => x = 3 and 6y = 12 => y = 2`
APPEARS IN
RELATED QUESTIONS
Given matrix A `[(4 sin 30°, cos 0°),(cos 0°, 4 sin 30°)]` and B = `[(4),(5)]`. If AX = B.
- Write the order of matrix X.
- Find the matrix ‘X’.
Given `[(2, 1),(-3,4)]` . X = `[(7),(6)]`. Write:
- the order of the matrix X.
- the matrix X.
If A = `[(1, 2),(2, 1)]` and B = `[(2, 1),(1, 2)]`; find A(BA)
If A = `[(1, 2),(2, 1)]` and B = `[(2, 1),(1, 2)]`; find (AB)B
If matrix X = `[(-3, 4),(2, -3)][(2),(-2)]` and 2X – 3Y = `[(10),(-8)]`, find the matrix ‘X’ and matrix ‘Y’.
If A = [4 7] and B = [3 1] , find: A+2B
If P =`|(2,9),(5,7)|` and Q = `|(7,3),(4,1)|` find 2Q - P
If P = (8 , 5),(7 , 2) , find Pt
If `"A" = [(1 , 2),(-2 , 3)], "B" = [(2 , 1),(2 , 3)] "C" = [(-3 , 1),(2 , 0)]` verify that
(AB)C = A(BC),
Choose the correct answer from the given four options :
If B = `[(1, 5),(0, 3)]` and A – 2B = `[(0, 4),(-7, 5)]` then the matrix A is equal to
