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Matrices | Types of Matrices

If A and B are symmetric matrices of the same order, then (ABt - BAt) is
If a matrix A is both symmetric and skew symmetric, then
If P and Q are symmetric matrices of the same order then PQ - QP is
If a matrix A is Symmetric as well as Skew-Symmetric, then:
If A and B are symmetric matrices, then AB – BA is:
How many distinct matrices exist with all four entries taken from (1, 2)?
If a matrix has 9 elements, what are the possible orders it can have?
If A and B are square matrices of order 2 such that det(AB) = det(BA), then which one of the following is correct?
Which of the following statements is/are correct If A and B are two symmetric matrices of order n then 1. A + B is also a symmetric matrix. 2. AB is a symmetric matrix
Consider the following statements: 1. Every zero matrix is a square matrix. 2. A matrix has a numerical value. 3. A unit matrix is a diagonal matrix. Which of the above statements is / are correct?
A square matrix is called a skew-symmetric matrix when:
Which of the following statements is/are true If A and B are two skew-symmetric matrices of order n then 1. A ⋅ B is a skew symmetric matrix when AB = - BA 2. A ⋅ B is a symmetric matrix when AB = BA
Which of the following statements is/are true  If A is a symmetric matrix of order n then 1. k ⋅ A is a symmetric matrix where k is any real number. 2. Am is a symmetric matrix where m ∈ N
Which of the following statements is/are true: If A is a skew-symmetric matrix of order n then 1. A2m is a symmetric matrix where m is a positive integer. 2. A2m + 1 is a skew - symmetric matrix where m is a positive integer.
A matrix such that A2 = I where A and I are square matrix of order n is called
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