Only if each element of one has the same value as the corresponding element in the other.
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.
yes that's absoloutly correct
The statement that the rank of product of two matrices cannot exceed the rank of either factor is a true statement. The rank of a matrix is the largest number of linearly independent rows or columns. The column rank is equal to the row rank in every matrix.
how is matrices is applicable in our life?
Matrices were used to organize data.
two matrices are normally considered equal only if they are identical. In other words, every element in the matrix must be equal to the corresponding element in the other matrix.
how to multiply two sparse matrices
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.
yes that's absoloutly correct
The number of columns in the first matrix must equal the number of rows in the second.
no
Let me correct you: two-dimensional arrays are used in programming to represent matrices. (Matrices are objects of mathematics, arrays are objects of programming.)
The statement that the rank of product of two matrices cannot exceed the rank of either factor is a true statement. The rank of a matrix is the largest number of linearly independent rows or columns. The column rank is equal to the row rank in every matrix.
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No, it is not.
The matrix multiplication in c language : c program is used to multiply matrices with two dimensional array. This program multiplies two matrices which will be entered by the user.
use mantel test