Q. For matrix A, B.(A+B)ᵀ = Aᵀ + Bᵀ and (AB)ᵀ = AᵀBᵀ if the orders of matrices are appropriate.

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Q. For matrix A, B if A – B = O, where O is a null matrix then?

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Q. All the diagonal elements of a skew-symmetric matrix is?

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Q. The determinant of identity matrix is?

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Q. If determinant of a matrix A is Zero than __________

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Q. For a skew symmetric even ordered matrix A of integers, which of the following will not hold true?

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Q. For a skew symmetric odd ordered matrix A of integers, which of the following will hold true?

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Q. Let A = [kaᵢⱼ]ₙₓₙ, B = [aᵢⱼ]ₙₓₙ, be an nxn matrices and k be a scalar then det(A) is equal to _________

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Q. The Inverse exist only for non-singular matrices.

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Q. If for a square matrix A and B, null matrix O, AB = O implies BA=O.

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Q. If for a square matrix A and B,null matrix O, AB = O implies A=O and B=O.

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Q. Let A be a nilpotent matrix of order n then?

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Q. Which of the following property of matrix multiplication is correct?

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Q. For a matrix A, if a matrix B is obtained by changing its rows into columns and column into rows, then relation between A and B is?

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Q. For matrix A, (Aᵀ)ᵀ is equals to ___________

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Q. For matrix A and a scalar k, (kA)ᵀ is equal to _________

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Q. If A is a lower triangular matrix then Aᵀ is a _________

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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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