Math, asked by sonajacob030, 3 months ago

a b c
-a b c
-a -b c
Evaluate​

Answers

Answered by jiyashah838
0

Answer:

-a-bc

Step-by-step explanation:

abc-abc-a-bc

0-a-bc

Answered by hukam0685
2

Step-by-step explanation:

Given:

\left|\begin{array}{ccc}a&b&c\\-a&b&c\\-a&-b&c\end{array}\right|

To find: Evaluate the determinant.

Solution:

Take a,b and c common from C1,C2 and C3 respectively

=abc\left|\begin{array}{ccc}1&1&1\\-1&1&1\\-1&-1&1\end{array}\right|

Perform row operation

R_3->R_3+R_1

R_2->R_2-R_1

=abc\left|\begin{array}{ccc}1&1&1\\-2&0&0\\0&0&2\end{array}\right|

Now expand the determinant along R1

=abc[1(0)-1(-4)+1(0)]\\

=abc[4]\\

=4abc\\

Final answer:

\bold{\left|\begin{array}{ccc}a&b&c\\-a&b&c\\-a&-b&c\end{array}\right|=4abc}\\

Hope it helps you.

To learn more on brainly:

solve the determinant by using ementary operations

https://brainly.in/question/45485892

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