Advertisements
Advertisements
प्रश्न
Given : `[(x, y + 2),(3, z - 1)] = [(3, 1),(3, 2)]`; find x, y and z.
Advertisements
उत्तर
If two matrices are equal, then their corresponding elements are also equal.
Therefore, we have:
x = 3,
y + 2 = 1 `\implies` y = –1
z – 1 = 2 `\implies` z = 3
संबंधित प्रश्न
Wherever possible, write the following as a single matrix.
`[(1, 2),(3, 4)] + [(-1, -2),(1, -7)]`
Wherever possible, write the following as a single matrix.
`[(2, 3, 4),(5, 6, 7)] - [(0, 2, 3),(6, -1, 0)]`
Find x and y from the given equations:
`[(5, 2),(-1, y - 1)] - [(1, x - 1),(2, -3)] = [(4, 7),(-3, 2)]`
Given : M = `[(5, -3),(-2, 4)]`, find its transpose matrix Mt. If possible, find Mt – M
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 = `|(5,"r"),("p",7)|` , c and if A + B = (9,7),(5,8) , find the values of p,q,r and s.
Evaluate the following :
`|(0 , 1 , 0),(2 , 0 , -3),(1 , 0 , -2)| |(1 , -2),(3 , 4),(0 , 0)|`
If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|` find the value of P(Q + R)
If A = `[(1,1),(2,2)] , "B" = [(1,2),(3,4)]` then find |AB|.
Construct a matrix A = [aij]3 × 2 whose element aij is given by
aij = `(("i" + "j")^3)/5`
