Advertisements
Advertisements
Question
Solve for x, y : `[(x^2),(y^2)] + 2[(-2x),(-y)] = [(5),(8)]`
Solution
x2 – 4x = 5
y2 – 2y = 8
y2 – 2y – 8 = 0
(y – 4)(y + 2) = 0
y = 4, – 2
x2 – 4x – 5 = 0
(x – 5)(x + 1) = 0
x = 5, – 1
x = – 1, 5 and y = 4, – 2
APPEARS IN
RELATED QUESTIONS
Construct a 3 × 3 matrix whose elements are given by aij = |i – 2j|
Find the values of x, y and z from the following equation
`[(x + y + z),(x + z),(y + z)] = [(9),(5),(7)]`
If A is of order p × q and B is of order q × r what is the order of AB and BA?
A has ‘a’ rows and ‘a + 3’ columns. B has ‘b’ rows and ‘17 − b’ columns, and if both products AB and BA exist, find a, b?
Determine the matrices A and B if they satisfy 2A – B + `[(6, - 6, 0),(- 4, 2, 1)]` = 0 and A – 2B = `[(3, 2, 8),(-2, 1, -7)]`
If A is a 3 × 4 matrix and B is a matrix such that both ATB and BAT are defined, what is the order of the matrix B?
If `[(0, "p", 3),(2, "q"^2, -1),("r", 1, 0)]` is skew – symmetric find the values of p, q and r
Choose the correct alternative:
What must be the matrix X, if `2"X" + [(1, 2),(3, 4)] = [(3, 8),(7, 2)]`?
Choose the correct alternative:
If the points (x, – 2), (5, 2), (8, 8) are collinear, then x is equal to
Let det M denotes the determinant of the matrix M. Let A and B be 3 × 3 matrices with det A = 3 and det B = 4. Then the det (2AB) is