Show that 3 3 determinants can be computed using the diagonal rule: Repeat the first two

Question:

Show that 3 × 3 determinants can be computed using the diagonal rule: Repeat the first two columns of the matrix and form the products of the numbers along the six diagonals indicated. Then add the products for the diagonals that slant from left to right and subtract the products for the diagonals that slant from right to left.

det(A) =  a21 Ugg dg aga22  + = a11a22a33 + a12a23a31 + a13a21a32 - a 13a22a31 - a11a23a 32 - a12a21933

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

Question Posted: