Question

6 Compute the determinant of :
∣∣∣−2−314∣∣∣
5
-5
4
-4

7 Compute the determinant of :
∣∣∣−1−4−1−2∣∣∣
8
4
3
-2

8 Two systems of linear equations involving the same variables are said to be _______ if they have the same solution set.
set
associative
equivalent
parallel

9 A + (B + C)= (A + B) + C
associative
scalar quantity
dot product
2

10 A + B = B + A
associative
m
commutative
m-n

Answer 1

Answer on Question #55843 – Math – Linear Algebra

6. Compute the determinant of :

$| | | -2-314| | |$

Solution

$$\left| \begin{array}{cc} -2 & -3 \\ 1 & 4 \end{array} \right| = -2*4 - 1*(-3) = -8 + 3 = -5$$

Answer: -5.

7. Compute the determinant of :

$| | | -1-4-1-2| | |$

Solution

$$\left| \begin{array}{cc} -1 & -4 \\ -1 & -2 \end{array} \right| = -1*(-2) - (-1)*(-4) = 2 - 4 = -2$$

Answer: -2.

8. Two systems of linear equations involving the same variables are said to be ______ if they have the same solution set.

- set

- associative

- equivalent

- parallel

Answer: equivalent

9. $A + (B + C) = (A + B) + C$

- associative

- scalar quantity

- dot product

Answer: associative

10. $A + B = B + A$

- associative

- m

- commutative

- m-n

Answer: commutative

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