Advertisements
Advertisements
Question
Find the values of x, y, z if `[(x - 3, 3x - z),(x + y + 7, x + y + z)] = [(1, 0),(1, 6)]`
Solution
x – 3 = 1 ⇒ x = 1 + 3 ⇒ x = 4
3x – z = 0 ...(substitute the value of x)
3(4) – z = 0
12 – z = 0
∴ z = 12
x + y + z = 6
4 + y + 12 = 0
y + 16 = 6
y = 6 – 16
∴ y = – 10
The value of x = 4, y = – 10 and z = 12
APPEARS IN
RELATED QUESTIONS
Construct a 3 × 3 matrix whose elements are given by aij = |i – 2j|
Construct a 3 × 3 matrix whose elements are given by aij = `("i" + "j")^3/3`
If A is of order p × q and B is of order q × r what is the order of AB and BA?
Give your own examples of matrices satisfying the following conditions:
A and B such that AB ≠ BA
Express the following matrices as the sum of a symmetric matrix and a skew-symmetric matrix:
`[(4, -2),(3, -5)]`
Choose the correct alternative:
If the points (x, – 2), (5, 2), (8, 8) are collinear, then x is equal to
Choose the correct alternative:
If the square of the matrix `[(alpha, beta),(γ, - alpha)]` is the unit matrix of order 2, then α, β, and γ should
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
A matrix is an ordered:-
If A = `[(1, 2),(2, 3)]` and A2 – kA – I2 = 0, then value of k is ______.