Common form of system of linear equations is A*X =

Ingrid Senior

Ingrid Senior

Answered question

2022-02-16

Common form of system of linear equations is A*X = B, X is unknown. But how to find A, if X and B are known?
A is MxN matrix, X is column vector(N), B is column vector(M)

Answer & Explanation

legertopdxa

legertopdxa

Beginner2022-02-17Added 8 answers

Do it row by row. Row k in A multiplied by the column vector X equals the kth entry in the vector B. This is a single equation for the N entries in that row of A (so unless X is zero, you get an (N1)-parameter set of solutions for each row).
Rebekah Irvine

Rebekah Irvine

Beginner2022-02-18Added 6 answers

If all matrices are square, then A=BX1.

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