a. What is the formula for the determinant of the given matrix expanding by cofactors on the first row?
a b c
d e f
g h i
b. What is the determinant?
a b c
d e f
g h i
b. What is the determinant?
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Determinant expanding by cofactors on the first row
=a|ei-fh|-b|di-fg|+c|dh-eg|
= aei-afh-bdi+bfg+cdh-ceg
=a|ei-fh|-b|di-fg|+c|dh-eg|
= aei-afh-bdi+bfg+cdh-ceg