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3 years ago

How to find the determinant of a 3x3 matrix?

1 answer:

4 0

This is how

1. Write your 3 x 3 matrix. More ↓
2. Choose a single row or column. ↓
3. Cross out the row and column of your first element. ↓
4. Find the determinant of the 2 x 2 matrix. ↓
5. Multiply the answer by your chosen element. ↓
6. Determine the sign of your answer. ↓
7. Repeat this process for the second element in your reference row or column. ↓
8. Repeat with the third element. ↓
9. Add your three results together. ↓

Hope this helps!

You might be interested in

In triangle ABC, line A.B.=CB Angle ABC equals 4X -3, and angle CAB equals X -3, what is angle ACB

Soloha48 [4]

Answer:

∠ACB = 28.5

Step-by-step explanation:

In triangle ABC,

angle CAB = x-3

angle ABC = 4X-3

It is also given that AB=CB

We know that if two sides of any triangle are equal then corresponding sides must also be equal.

Hence

angle ACB = angle CAB

angle ACB = x-3 {Given that angle CAB = x-3 }

We know that sum of all three angles of a triangle is 180 degree so let's add given angles

angle ACB + angle CAB + angle ABC = 180

(x-3) + (x-3) + (4x-3) = 180

x-3 + x-3 + 4x-3 = 180

6x-9 = 180

6x = 180+9

6x = 189

x = 189/9

x= 31.5

Now plug value of x into

angle ACB = x-3 = 31.5-3 = 28.5

Hence final answer is

∠ACB = 28.5

3 0

3 years ago

Domain and Range for the function f(x)=5IXI is

shutvik [7]

Answer:

The domain of the function f(x) is:

$\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

The range of the function f(x) is:

$\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

Step-by-step explanation:

Given the function

$f\left(x\right)=5\left|x\right|$

Determining the domain:

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

Domain refers to all the possible sets of input values on the x-axis.

It is clear that the function has undefined points nor domain constraints.

Thus, the domain of the function f(x) is:

$\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

We know that the range of an Absolute function is of the form

$c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k$

$k=0$

Thus, the range of the function f(x) is:

$\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

7 0

3 years ago

For Mother's Day, Meghan bought her mother flowers that cost $25.34 and a card that was $2.99. She also bought herself a candy b

sladkih [1.3K]

Answer:

1.10

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

This data set gives the scores of 41 students on a biology exam: {66, 67, 67, 68, 80, 81, 81, 82, 22, 65, 66, 68, 69, 70, 71, 71

Naddika [18.5K]

I think the answer is 74.

3 0

3 years ago

Jonah is going to the store to buy candles small candles cost $3.50 and large candles cost five dollars he needs to buy at least

marysya [2.9K]

Answer:

He can purchase a maximum of 6 large candles.

Step-by-step explanation:

If he purchases 6 large candles and 14 small candles:

$5.00 x 6 = $30.00

$3.50 x 14 = $49.00

$49.00 + $30.00 = $79.00

6 0

4 years ago