Question

⎛1 2 3⎞
5. Given that A= ⎜3 2 1⎟ . Find the determinant of A
⎝1 3 2⎠


a.2
b.3
c.1
d.zero

6. A matrix is said to be singular if the determinant is equal to
a.3
b.1
c.zero
d.2

Answer 1

Answer to Question #87347 - Math – Linear Algebra

Question:

5. Given that $A = \begin{pmatrix} 1 & 2 & 3 \\ 3 & 2 & 1 \\ 1 & 3 & 2 \end{pmatrix}$. Find the determinant of $A$.

a. 2

b. 3

c. 1

d. zero

6. A matrix is said to be singular if the determinant is equal to

a. 3

b. 1

c. zero

d. 2

Solution:

5. $|A| = \begin{vmatrix} 1 & 2 & 3 \\ 3 & 2 & 1 \\ 1 & 3 & 2 \end{vmatrix} = 1 \times (2 \times 2 - 1 \times 3) - 2 \times (3 \times 2 - 1 \times 1) + 3 \times (3 \times 3 - 2 \times 1) = 1 - 10 + 21 = 12$.

6. A matrix is said to be singular if the determinant is equal to zero.

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