3 years ago

If a= 3 -1 5 and b= 5 3 1

Mathematics

1 answer:

tiny-mole [99]3 years ago

7 0

Answer:

det(A)=-det(B)

Step-by-step explanation:

We have two matrices A, and B.

Matrix B is obtained by swapping rows 1 and 3 of matrix A.

Whenever we swap rows in matrices, the determinants does not change but the sign changes.

Therefore

det(A)=-det(B)

Also no two rows of of both matrices are the same, therefore

det(A)≠0, and det(B)≠0

You might be interested in

Which of the following is a solution of x2 + 6x = −18? x = 3 − 3i x = −3 + 3i x = −6 + 3i x = 6 − 3i

Marina86 [1]

Step 1 ) Move all terms right side of the equation.

$\displaystyle\ x^{2} + 6x = -18$

$\displaystyle\ x^{2} + 6x + 18 = -18 + 18$

$\displaystyle\ x^{2} +6x + 18 = 0$

Step 2 ) Apply quadratic formula. (Note: There are 2 solutions)

$\displaystyle\ x^{2} +6x + 18 = 0$

$\displaystyle\ x = \frac{-b\sqrt{b^{2}-4ac}}{2a}, \displaystyle\ x = \frac{-b-\sqrt{b^{2}-4ac}}{2a}$

$\displaystyle\ x = \frac{-6+\sqrt{6^{2}-4 * 18}}{2} , \displaystyle\ x = \frac{-6-\sqrt{6^{2}-4*18}}{2}$

$\displaystyle\ x = \frac{-6+6i}{2}$ ,

$\displaystyle\ x = \frac{-6-6i}{2}$

Step 3 ) Simplify.

$\displaystyle\ x = \frac{-6+6i}{2}$ ,

$\displaystyle\ x = \frac{-6-6i}{2}$

$\displaystyle\ x = -3+ 3i$ ,

$\displaystyle\ x = -3 - 3i$

Since the options only provide one of the answer we found, the answer is...

$\displaystyle\ x = -3 - 3i$

•

- Marlon Nunez

6 0

3 years ago

Read 2 more answers

Fran brings home $225 per week working 15 hours of which she is able to save $40. Fran wants to have $1,400 saved at the end of

8_murik_8 [283]

Answer:

225+40+1,400=?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Sean got m marks for his math test.Emma got 15 more marks than Sean Emma score is 97

Dafna1 [17]

97-15=82 so he got 82

5 0

3 years ago

Solve; 5(x+1)=6.4−2.7x 3(y−1.5)=9.9–4.2y 0.9y−1.8=0.3(y−4)

Dmitrij [34]

—
1. Answer x=0.18

2. Answer y = 2

3. Answer y = 1

7 0

3 years ago

If u have 3/12 of an orange how many fourths do u have

sveta [45]

The answer would be 1/4 :)

5 0

3 years ago

Read 2 more answers