Q. If matrix A and B are symmetric and AB = BA iff _________

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Q. A matrix can be expressed as sum of symmetric and anti-symmetric matrices.

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Q. The determinant of a diagonal matrix is the product of leading diagonal’s element.

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Q. If for a square matrix A and B,null matrix O, (AB)ᵀ = O implies Aᵀ = O and Bᵀ = O.

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Q. Let A = [aᵢⱼ] given by abᵢⱼ = (i-j)³ is a _________

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Q. Trace of the matrix of odd ordered anti-symmetric matrix is _________

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Q. For a matrix A, B and identity matrix I, if a matrix AB=I=BA then?

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Q. For matrix A, (A₃) = I, A⁻¹ is equals to _________

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Q. Let A = [0 1 0 0 ], A⁻¹ is equal to _________

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Q. If A is an invertible square matrix then _________

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Q. If matrix A, B and C are invertible matrix of same order then (ABC)⁻¹ = _________

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Q. If A is non singular matrix then AB = AC implies B = C.

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Q. For a matrix A of order n, the det(adj(A)) = (det(A))ⁿ, where adj() is adjoint of matrix.

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Q. For a non-singular matrix A, A⁻¹ is equal to _________

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Q. Let I₃ be the Identity matrix of order 3 then (I₃)⁻¹ is equal to _________

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Q. If for a square matrix A(non-singular) and B, null matrix O, AB = O then?

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Q. For the sequence 1, 7, 25, 79, 241, 727 … simple formula for {aₙ} is ____________

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Q. For the sequence 0, 1, 2, 3 an is ____________

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Q. The value of∑(k=50)¹⁰⁰ k² is __________

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Q. The sets A and B have same cardinality if and only if there is ___________ from A to B.

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