- #1
iVenky
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What is the exact definition for equivalent matrices?
Is it necessary that it should be A = B if A,B are two matrices?
Thanks a lot.
Is it necessary that it should be A = B if A,B are two matrices?
Thanks a lot.
Equivalent matrices are matrices that have the same size and the same corresponding elements. This means that if two matrices, A and B, are equivalent, each element in A will have the same value as the corresponding element in B.
The definition of equivalent matrices is two matrices, A and B, are considered equivalent if they have the same size and corresponding elements.
To determine if two matrices are equivalent, you can compare the size of the matrices and check if each element in one matrix has the same value as the corresponding element in the other matrix.
Equivalent matrices are important in understanding the properties and operations of matrices. They allow us to manipulate and solve equations involving matrices, as well as simplify complex matrix operations.
Yes, equivalent matrices can be used interchangeably in mathematical operations. This is because they have the same size and corresponding elements, so they will produce the same results when used in calculations.