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प्रश्न
State, whether the following statement is true or false. If false, give a reason.
Transpose of a square matrix is a square matrix.
पर्याय
True
False
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उत्तर
This statement is True.
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.
A2 – B2 = (A + B) (A – B)
If M = `[(2,1),(1,-2)] `; find M2, M3 and M5.
If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|` find the value of P(Q + R)
Let A = `|(3 , 2),(0 ,5)|` and B = `|(1 ,0),(1 ,2)|` , find (i) (A + B)(A - B) (ii) A2 - B2 . Is (i) equal to (ii) ?
`[(2 ,- 4),(0 ,0),(1 , 7)]`
`[(0, 0, 0),(0, 0, 0)]`
Construct a matrix A = [aij]3 × 2 whose element aij is given by
aij = `(("i" + "j")^3)/5`
If A = `[(5, -2),(7, -0)]` and B = `[(8),(3)]`, then which of the following is not possible?
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.
