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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.
विकल्प
True
False
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उत्तर
This statement is True.
संबंधित प्रश्न
If A = `[(8, -3)]` and B = `[(4, -5)]`; find A + B
Find x and y from the given equations:
`[(5, 2),(-1, y - 1)] - [(1, x - 1),(2, -3)] = [(4, 7),(-3, 2)]`
Evaluate:
`2[(-1 0)/(2 -3)] +[(3 3)/(5 0)]`
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
(B . C) . A = B . (C . A)
Solve the following system of linear equation using matrix method:
`1/x + 1/y +1/z = 9`
`2/x + 5/y+7/z = 52`
`2/x+1/y-1/z=0`
Find the values of a, b, c and d, if `|("a + 3b", 3"c" + "d"),(2"a" - "b" , "c" - 2"d")| = |(5 , 8),(3 , 5)|`
If M =`|(8,3),(9,7),(4,3)|` and N = `|(4,7),(5,3),(10,1)|` find M - N
If P = `|(8,5),(7,2)|` find P - Pt
If A = `[(1,2,3), (2,k,2), (5,7,3)]` is a singular matrix then find the value of 'k'.
`[(2 ,- 4),(0 ,0),(1 , 7)]`
