logo for solving-math-problems.com
leftimage for solving-math-problems.com

INVERSE MATRIX HELP!











































Given the matrix
5 3 0
5 0 0
−3 3 −1

(a) find its determinant;
Your answer is :
(b) does the matrix have an inverse?

Comments for INVERSE MATRIX HELP!

Click here to add your own comments

Mar 26, 2011
Inverse Matrix Help
by: Staff


The question:

Given the matrix

5 3 0
5 0 0
-3 3 -1

(a) find its determinant;

Your answer is :

(b) does the matrix have an inverse?



The answer:

(a) The Determinant


Matrix A

a b c
d e f
g h i

The determinant of matrix A

Det(A) = a (e i - h f) - d (b i - h c) + g (b f - e c)

Matrix A

5 3 0
5 0 0
-3 3 -1


Det(A) = (5) * [0*(-1) - 3*0] - 5 * [3*(-1) - 3*0] + (-3) * [3*0 - 0*0]

Det(A) = 15

The final answer of part (a) of your question is: Det(A) = 15


(b) Does the matrix have an inverse?

Yes, the matrix does have an inverse. A matrix has an inverse if its determinant is not zero.



The final answer:

(a) Det(A) = 15

(b) The matrix does have an inverse. (A matrix has an inverse if its determinant is not equal to zero).


Thanks for writing.


Staff
www.solving-math-problems.com


Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com