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  3. a linear system of equations ax=b is known, where

A linear system of equations Ax=b is known, where A is a matrix of m by...

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Basic Math

A linear system of equations Ax=b is known, where A is a matrixof m by n size, and the column vectors of A are linearlyindependent of each other. Please answer the following questionsbased on this assumption, please explain all questions, thankyou~.

(1) Please explain why this system has at most one solution.

(2) To give an example, Ax=b is no solution.

(3) According to the previous question, what kind of inferencecan be made to the size of A at this time? (What is the size of mand n,please explain also it thanks.)

Answer & Explanation Solved by verified expert
3.6 Ratings (591 Votes)
We presume that A has real entries If not we have to replace Rn by Cn 1 Since A is a mxn matrix with linearly independent columns hence the columns of A form a basis for Rn    See Answer
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