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Q: What makes two matrices equal?

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No. In general, if A and B are square matrices of the same size, A times B is not equal to B times A.Write down two random 2 x 2 matrices, multiply them together in both orders, and see what you get.

Only square matrices have inverses.

The square matrix have determinant because they have equal numbers of rows and columns. <<>> Determinants are not defined for non-square matrices because there are no applications of non-square matrices that require determinants to be used.

Matrices are tools to solve linear equations. Engineers use matrices in solving electrical problems in circuits using Thevenin's and Norton's theories.

You can definitely multiply 2x2 matrices with each other. In fact you can multiply a AxB matrix with a BxC matrix, where A, B, and C are natural numbers. That is, the number of columns of the first matrix must equal the number of rows of the second matrix--we call this "inner dimensions must match."

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Only if each element of one has the same value as the corresponding element in the other.

how to multiply two sparse matrices

The number of columns in the first matrix must equal the number of rows in the second.

yes that's absoloutly correct

no

the order is m p and the matrices can be multiplied if and only if the first one (matrix A) has the same number of columns as the second one (matrix B) has rows i.e)is Matrix A has n columns, then Matrix B MUST have n rows.Equal Matrix: Two matrices A=|Aij| and B=|Bij| are said to be equal (A=B) if and only if they have the same order and each elements of one is equal to the corresponding elements of the other. Such as A=|1 2 3|, B=|1 2 3|. Thus two matrices are equal if and only if one is a duplicate of the other.

No. In general, if A and B are square matrices of the same size, A times B is not equal to B times A.Write down two random 2 x 2 matrices, multiply them together in both orders, and see what you get.

write a program of two matrices and show row and column wise

Let me correct you: two-dimensional arrays are used in programming to represent matrices. (Matrices are objects of mathematics, arrays are objects of programming.)

No, it is not.

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use mantel test

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