Advertisements
Advertisements
Question
Solve for a, b and c; if `[(a, a - b),(b + c, 0)] = [(3, -1),(2, 0)]`
Advertisements
Solution
If two matrices are equal, then their corresponding elements are also equal.
a = 3
a – b = –1
`\implies` b = a + 1 = 4
b + c = 2
`\implies` c = 2 – b = 2 – 4 = –2
APPEARS IN
RELATED QUESTIONS
Given : `[(x, y + 2),(3, z - 1)] = [(3, 1),(3, 2)]`; find x, y and z.
Solve for a, b and c; if `[(-4, a + 5),(3, 2)] = [(b + 4, 2),(3, c- 1)]`
If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find B + C
Find x and y from the given equations:
`[(5, 2),(-1, y - 1)] - [(1, x - 1),(2, -3)] = [(4, 7),(-3, 2)]`
Find cofactors of the elements of the matrix A = `[(-1, 2),(-3, 4)]`.
Find the values of x and y, if `|(3"x" - "y"),(5)| = |(7) , ("x + y")|`
If B = `|(15 , 13),(11,12),(10,17)|` , find the transpose of matrix Band If possible find the sum of the two matrices. If not possible state the reason.
Evaluate the following :
`|(6 , 1),(3 , 1),(2 , 4)| |(1 , -2 , 1),(2 , 1 , 3)|`
Let `"M" xx [(1, 1),(0, 2)]` = [1 2] where M is a matrix.
- State the order of matrix M
- Find the matrix M
Given `[(2, 1),(-3, 4)], "X" = [(7),(6)]` the order of the matrix X
