MATHEMATICS HIGH SCHOOL

C) The determinant of 2 x 2 matrix A is 3. If you switch the rows and multiply the first row by 6 and the second row by 2, explain how to find determinant and provide the answer

Answers

Answer 1

Answer:

Step-by-step explanation:

A 2 × 2 matrix has 2 rows and 2 columns

Let us assume that matrix A is expressed as

a b

c d

The determinant of matrix A would be

(a × d) - (b × c)

Given that the determinant of matrix A is 3, it means that

ad + bc = 3

If we switch the rows, the first row becomes cd and the second row becomes ab. If we multiply the first row by 6 and the second row by 2, the matrix becomes

6c 6d

2a 2b

The determinant would be

(6c × 2b) - (2a × 6d)

Determinant = 12bc - 12ad

Related Questions

What is the inverse of the function f(x) = x – 12?
Variable g is 8 more than variable w. Variable g is also 4 less than w. Which pair of equations best models the relationship between g and w? A) g=w-8 , q=w+4 B) w=8g , w=g-4 C) g=w+8 , g=w+4 D) w=8g , w=g+4
Select the symbol = (equal to) or ≠ (not equal to) to make the expression true.{1, 2, 3, 4, 5} ? {whole numbers between 1 and 5 inclusive}
During the Age of Exploration, stretching from the 1400s to the 1900s, which of the following regions was the focal point for global trade and exchange of culture? A Option A: Pacific B Option B: Atlantic C Option C: African D Option D: Asian
Whether 750 is divisible by 5?

PLEASE ANSWER ASAP! AN EXPLANATION IS A MUST REQUIREMENT IN ORDER TO RECEIVE 10 POINTS AND THE BRAINLIEST ANSWER! THANKS!!!

Answers

Find the point (5,40) on the graph and then match up the units. It says that there are 40 million computers being sold (which means that the y-axis is the amount of computers sold) and 5 million spent on advertising (which means that the x-axis is the advertising money)

The answer is the second option. Since they're selling 40 million computers, and the number 40 is on the vertical axis, the vertical axis represents the number of computers sold and is in millions. The number of dollars spent is 5 million, and the 5 is on the horizontal axis, so the horizontal axis represents the number of dollars spent in millions.

How many solutions are possible for a triangle with B=44,a=23,=12?

Answers

$b/sinB = a/sinA$

$12/sin44 = 23/sinA$

$12sinA = 23*sin44$

$sinA = (23*sin44)/12$

$sinA = 1.3314$

No Solution

Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use: Step 1: Choose a point on the line, such as (2, 5).
Step 2: Choose another point on the line, such as (1, 3).
Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is.
Step 4: Substitute those values into the point-slope form. y – y1 = m(x – x1) y – 3 = (x – 1) Which of Talia’s steps is incorrect? Step 1 is incorrect because it uses a point that is not on the line. Step 2 is incorrect because it uses a point that is not on the line. Step 3 is incorrect because it shows an incorrect ratio of the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form

Answers

From the steps Talia chooses to find the equation of the line, we shall evaluate the incorrect step as follows:
Step 1:
Choose a point in the line such as (2,5)
Step 2:
Choose another point on the line, such as (1, 3)
step 3:
Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is.
(5-3)/(2-1)=2/2=1
step 4:
Substitute those values into the point-slope form
y-y1=m(x-x1)
y-3=2(x-1)
y=2x+1
Thus the answer is:
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form

just took the test the right answer is step 3 is incorrect

Solutions for 12 – x2 = 0?

Answers

Answer: x = ± 2 √3 ; or, write as: x = ± 3.464 .
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Given: 12 – x² = 0 ;

Multiply BOTH side by "-1" ;
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-1 (12 – x² = 0) ;

to get:

-12 + x² = 0 ;

Rewrite as:

x² - 12 = 0 ;

Add "12" to both sides; to get:

x² = 12

Take the square root of each side:

√(x²) = ±√(12)

x = ± √(12)
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√(12) = √(4) * √(3) = 2 √(3)

√(12) = 3.4641016151377546 ; round to: 3.464 .
____________________________________________________
x = ± √(12) ;
____________________________________________________
x = ± 2 √3 ; or, write as: x = ± 3.464 .
____________________________________________________

The test scores for a group of students are shown. 87, 72, 98, 84, 72, 65, 72, 70, 58, 91, 81, 84

What is the mode of the scores?

A.
80

B.
77.8

C.
76.5

D.
72

Answers

the mode is what occurs the most. 87 occurs once, 72 occurs 3 times, 98 occurs once,84 occurs twice, 65 occurs once, 70 occurs once, 58 occurs once , 91 occurs once and 84 occurs once. 72 occurs 3 times, which is the most, so 72 is the mode.

Graph the line with slope 1/3

passing through the point (-2, 5).