1 votes 1 votes If $A$ and $B$ are matrices of order $4 \times 4$ such that $A= 5B$ and determinant of $A = X$. (determinant of $B$), then $X$ will be $5$ $25$ $125$ $625$ Linear Algebra engineering-mathematics linear-algebra + – VIDYADHAR SHELKE 1 asked May 30, 2018 • edited May 30, 2018 by Subarna Das VIDYADHAR SHELKE 1 1.9k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 0 votes 0 votes |A|=X.|B| As given A =5B ,TAKING determinant of both side |A| =|5B| |A|=$5^4$|B| (Property of determinant ,|kA|=$k^n$|A|,where n is order of det.) So X=625 Prateek Raghuvanshi answered May 30, 2018 • selected May 31, 2018 by Subarna Das Prateek Raghuvanshi comment Share Follow See all 0 reply Please log in or register to add a comment.