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DrexelDan
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X is a 10x10 matrix
what is X*[7th column of X's inverse]?
thanks for any help you can provide!
what is X*[7th column of X's inverse]?
thanks for any help you can provide!
DrexelDan said:I also know that a matrix multiplied by its inverse is the identity matrix. would the resultant matrix of the problem above be: in one column [0 0 0 0 0 0 1 0 0 0]
Multiplying a matrix by a column of its inverse is used to solve linear systems of equations. It allows us to find the unique solution to a system of equations efficiently.
To multiply a matrix A by a column vector x, where x is the inverse of A, we use the formula Ax = b, where b is the resulting vector. This can also be written as A * x = b.
An inverse matrix is a matrix that, when multiplied by the original matrix, results in the identity matrix. It is denoted by A-1 and is used to solve linear systems of equations. The existence of an inverse matrix is dependent on the determinant of the original matrix being non-zero.
Multiplying a matrix by a column of its inverse is commonly used in computer graphics, engineering, and statistics. It can be used to solve systems of linear equations, perform transformations, and calculate probabilities in Markov chains, among other things.
No, it is not always necessary. In some cases, a system of equations can be solved using other methods such as substitution or elimination. However, multiplying by the inverse matrix is often the most efficient and accurate method.