Advertisements
Advertisements
Question
Evaluate:
`2[(-1 0)/(2 -3)] +[(3 3)/(5 0)]`
Advertisements
Solution
`2[(-1 0)/(2 -3)] +[(3 3)/(5 0)]`
det `((-1,0),(2,-3))`
det = ad − bc
Substitute the values from the matrix:
`det ((-1,0),(2,-3)) = (-1) (-3) - (0) (2) = 3`
Thus, the first part of the expression is:
`2 [(-1 0)/(2-3)] = 2 xx 3 = 6`
det `((3,3),(5,0))`
det = ad − bc
Substitute the values:
`det ((3,3),(5,0)) = (3) (0) - (3) (5) = 0 - 15 = -15`
Thus, the second part of the expression is:
`[(3 3)/(5 0)] = -15`
Combine the results
6 + (−15) = 6 − 15 = −9
The value of the given expression is: −9
RELATED QUESTIONS
Solve for a, b and c; if `[(a, a - b),(b + c, 0)] = [(3, -1),(2, 0)]`
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)
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
(A – B) . C = A . C – B . C
If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A – B + C
Find the values of x and y, if `|(3"x" - "y"),(5)| = |(7) , ("x + y")|`
`[(0, 0, 0),(0, 0, 0)]`
Construct a matrix A = [aij]3 × 2 whose element aij is given by
aij = `(("i" + "j")^3)/5`
In a matrix, horizontal lines are called:
In a matrix, vertical lines are called:
How is the order \[m\times n\] read?
