Advertisements
Advertisements
प्रश्न
Event A: Order of matrix A is 3 × 5.
Event B: Order of matrix B is 5 × 3.
Event C: Order of matrix C is 3 × 3.
Product of which two matrices gives a square matrix.
पर्याय
AB and AC
AB and BC
BA and BC
AB and BA
उत्तर
AB and BA
Explanation:
Given A is a matrix of order 3 × 5
B is a matrix of order 5 × 3
And C is a matrix of order 3 × 3
AB exists
∵ No. of columns in A
= No. of rows in B = 5
∴ AB is a square matrix of order 3 × 3
And BA is a square matrix of order 5 × 5
संबंधित प्रश्न
If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A + B – C
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
A + B = B + A
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
A2 – B2 = (A + B) (A – B)
If M = `[(2,1),(1,-2)] `; find M2, M3 and M5.
Classify the following matrix :
`|(1 , 1),(0,9)|`
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)
`[(2, -1),(5, 1)]`
Construct a matrix A = [aij]3 × 2 whose element aij is given by
aij = `(("i" - "j")^2)/(5 - "i")`
If a matrix A = `[(0, 1),(2, -1)]` and matrix B = `[(3),(1)]`, then which of the following is possible: