Q. For matrix A if AAᵀ = I, I is identity matrix then A is?

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Q. Let A and B be two matrices of same order, then state whether the given statement is true or false.

A + B = B + A

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Q. Let A and B be two matrices of same order, then state whether the given statement is true or false.

AB = BA

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Q. Let A order(axb) and B order(cxd) be two matrices, then for AB to exist, correct relation is given by?

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Q. Let A order(axb) and B order(cxd) be two matrices, then if AB exists, the order of AB is?

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Q. Let A=[aᵢⱼ ] be an mxn matrix and k be a scalar then kA is equal to __________

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Q. The matrix multiplication is distrbutive over matrix addition.

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Q. If for a square matrix A, A² = A then such a matrix is known as _________

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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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