Question
Download Solution PDFWhich one of the following options is incorrect?
For a square matrix A in the matrix equation AX = B.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Matrix equation is Ax = B where A is square matrix and B is column matrix.
Then if |A| ≠ 0, then there exists a unique solution.
If |A| = 0 and (adj A)B ≠ 0 then there is no solution i.e., inconsistent.
If |A| = 0 and (adj A)B = 0 then system has infinitely many solutions i.e., consistent.
Hence the incorrect statement is "If |A| ≠ 0 and (adj A)B ≠ 0 then there is no solution."
Option (3) is true.
Last updated on Jun 13, 2025
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