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VARVARA [1.3K]
3 years ago
15

Find the determinant of the given matrix.

Mathematics
2 answers:
Alecsey [184]3 years ago
5 0
<h2>Answer:</h2>

The determinant of the given matrix is:

                      a)   -42

<h2>Step-by-step explanation:</h2>

We are given a matrix let A as:

A=\left[\begin{array}{ccc}5&4\\8&-2\end{array}\right]

Determinant of a matrix--

The determinant of a 2×2 i.e. a square matrix of order 2 is calculated as follows:

If:

A=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]

then the determinant denoted by det(A) or |A| is given by:

det(A)=ad-bc

Here a=5, b=4 , c=8 and d= -2

Hence, the determinant is given by:

det(A)=5\times (-2)-4\times 8\\\\i.e.\\\\det(A)=-10-32\\\\i.e.\\\\det(A)=-42

             The correct answer is: Option: a)

JulijaS [17]3 years ago
3 0

Answer: -42


Step-by-step explanation: 2*2 matrices are easy to find the determinant with. Its just ad-bc, so (5*-2)-(4*8), which is -42


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6 0
3 years ago
Halp me please. This questions is killing me. I need the answer. Solve $3a + 4b = a - 8b + 24$ for $a$ in terms of $b$.
Anuta_ua [19.1K]

Answer:

a=12-6b

Step-by-step explanation:

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3 0
2 years ago
Point G is the midpoint of PQ. <br> PG equals 2X plus 3 and GQ equals 5X -5. what is X?
borishaifa [10]

Answer:

x=\frac{8}{3}=2\frac{2}{3}\approx{2.667}

Step-by-step explanation:

\overline{PG}=2x+3\\\overline{GQ}=5x-5

Since they're equidistant (equal distances), we can set them equal to one another and solve for x:

2x+3=5x-5

Adding 5 to both sides:

2x+8=5x

Subtracting 2x from both sides:

8=3x

Dividing both sides by 3:

\frac{8}{3}=x

Therefore:

x=\frac{8}{3}=2\frac{2}{3}\approx{2.667}

6 0
3 years ago
Ms.Lawrence had 550 in her bank account. The next day she withdrew 120 to buy groceries. She deposited 200 two days later. Fout
hjlf

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541

Step-by-step explanation:

550-120+200-89=541

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3 years ago
Convert 120 degrees to radians in terms of pi.
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