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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
उत्तर
This statement is True.
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संबंधित प्रश्न
If A = `[(8, -3)]` and B = `[(4, -5)]`; find B – A
Find x and y from the given equations:
`[(5, 2),(-1, y - 1)] - [(1, x - 1),(2, -3)] = [(4, 7),(-3, 2)]`
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.
(A + B) . C = A . C + B . C
If M =`|(8,3),(9,7),(4,3)|` and N = `|(4,7),(5,3),(10,1)|` find M - N
If A = `|("p","q"),(8,5)|` , B = `|(3"p",5"q"),(2"q" , 7)|` and if A + B = `|(12,6),(2"r" , 3"s")|` , find the values of p,q,r and s.
Solve the equations x + y = 4 and 2x - y = 5 using the method of reduction.
`[(2 ,- 4),(0 ,0),(1 , 7)]`
`[(2 , 7, 8),(-1 , sqrt(2), 0)]`
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.