- #1

- 85

- 0

If det

| a b c |

| p q r | = 2,

| u v w |

find det (3B^-1) where B =

| 2u 3u-a a-p |

| 2v 3v-b b-q |

| 2w 3w-c c-r |

Is it possible to transpose B?

So far what I got is 4; however, the instructor told me that the answer is |B| = 27/4

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- Thread starter shiri
- Start date

- #1

- 85

- 0

If det

| a b c |

| p q r | = 2,

| u v w |

find det (3B^-1) where B =

| 2u 3u-a a-p |

| 2v 3v-b b-q |

| 2w 3w-c c-r |

Is it possible to transpose B?

So far what I got is 4; however, the instructor told me that the answer is |B| = 27/4

- #2

- 9,559

- 770

Remember there is a difference between a determinant and a matrix. I'm guessing you are given a matrix

[tex]B =\left [

\begin{array}{ccc}

2u&3u-a&a-p\\

2v&3v-b&b-q\\

2w&3w-c&c-r

\end{array}

\right ][/tex]

and what you have written is its determinant. Remember when you multiply a matrix by 3 it multiplies every element in the matrix. So for an n by n matrix A, if you multiply it by 3 and take its determinant, a 3 comes out of every column so

det(3A) = 3

That plus the fact that det(A

should help you out.

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