Advertisements
Advertisements
प्रश्न
Find the value of x if `[(3x + y, -y),(2y - x, 3)] = [(1, 2),(-5, 3)]`
उत्तर
`[(3x + y, -y),(2y - x, 3)] = [(1, 2),(-5, 3)]`
Comparing the corresponding terms, we get.
-y = 2
⇒ y = -2
3x + y = 1
⇒ 3x = 1 – y
⇒ 3x = 1 – (–2)
= 1 + 2
= 3
⇒ x = `(3)/(3)`
= 1
Hence x = 1, y = –2.
APPEARS IN
संबंधित प्रश्न
If A = `[(1, 3),(3, 4)]`, B = `[(-2, 1),(-3, 2)]` and A2 – 5B2 = 5C. Find matrix C where C is a 2 by 2 matrix.
if `A [(3,7),(2,4)], B = [(0,2),(5,3)]` and `C = [(1,-5),(-4,6)]` Find AB - 5C
Evaluate:
`[(4 sin 30°, 2 cos 60°),(sin 90°, 2 cos 0°)] [(4, 5),(5, 4)]`
Evaluate:
`7[(-1, 2),(0, 1)]`
If A and B are any two 2 × 2 matrices such that AB = BA = B and B is not a zero matrix, what can you say about the matrix A?
If P = `|(2,9),(5 , 7)|` and Q = `|(7 , 3),(4 , 1)|` find 3P - 2Q
If `|(3"a" + 2"b" , 2"a" - "b"),(4"p" - 3"q" , 2"p" + "q")|` = `|(12 , 1),(16 , 8)|` , find the values of a , b , p and q.
Find the values of x, y, a and b if `[(x - 2, y),(a + 2b, 3a - b)] = [(3, 1),(5, 1)]`
Find the values of a, b, c and d if `[(a + b, 3),(5 + c, ab)] = [(6, d),(-1, 8)]`
Find a and b if `[(a - b, b - 4),(b + 4, a - 2)] [(2, 0),(0, 2)] = [(2, -2),(14, 0)]`
