Advertisements
Advertisements
Question
Find x and y, if `((x,3x),(y, 4y))((2),(1)) = ((5),(12))`.
Solution
On multiplying L.H.S., matrices, we get `((5x),(6y))` which is equal to R.H.S., matrix, evaluate their corresponding elements to get the values of x and y.
Hence, x = 1, y = 2.
APPEARS IN
RELATED QUESTIONS
Given `[(2, 1),(-3,4)]` . X = `[(7),(6)]`. Write:
- the order of the matrix X.
- the matrix X.
If A = `[(2, 1),(1, 3)]` and B = `[(3),(-11)]`, find the matrix X such that AX = B.
If A = `[(1, 2),(2, 1)]` and B = `[(2, 1),(1, 2)]`; find (AB)B
Find x, y if `[(-2, 0),(3, 1)] [(-1),(2x)] +3[(-2),(1)] = 2[(y),(3)]`.
Evaluate x,y if
`[(3 , -2),(-1 , 4)][(2x),(1)]+2[(-4),(5)] = [(8),(4y)]`
Find the values of x, y and z if `[(x + 2, 6),(3, 5z)] = [(-5, y^2 + y),(3, 20)]`
If A = `[(2, -1),(-4, 5)] and "B" = [(-3),(2)]` find the matrix C such that AC = B
If A = `[(3, -4),(-1, 2)]`, find matrix B such that BA = I,where I is unity matrix of order 2
Choose the correct answer from the given four options :
If `[(x + 2y, -y),(3x, 7)] = [(-4, 3),(6, 4)]` then the values of x and y are
If A = `[(sec60°, cos90°),(-3tan45°, sin90°)] and "B" = [(0, cos45°),(-2, 3sin90°)]` Find : BA
