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Andrej [43]
3 years ago
10

If D is an n × n diagonal matrix with entries dii, then det D = d11d22 ∙ ∙ ∙ dnn. Verify this theorem for 2 × 2 matrices.

Mathematics
1 answer:
nadya68 [22]3 years ago
8 0

Answer:

Verified

Step-by-step explanation:

Let the diagonal matrix D with size 2x2 be in the form of

\left[\begin{array}{cc}a&0\\0&d\end{array}\right]

Then the determinant of matrix D would be

det(D) = a*d - 0*0 = ad

This is the product of the matrix's diagonal numbers

So the theorem is true for 2x2 matrices

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Find the area and perimeter <br> please help me :)
Katarina [22]

Answer:

Perimeter: 44

Area: 96

Step-by-step explanation:

Perimeter - Just add all the sides together, 4 + 10 + 12 +7 + 8 + 3.

(The 8 and the 3 are apart of the sides that are not labeled. Since 12 - 4 = 8, and 10 - 7 = 3, That's where these numbers come from.)

Area - 4 * 10 = 40,

 +        8 * 7 =  56,

--------------------------------

                   = 96

I hope this helps :)

8 0
2 years ago
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Can someone help me with this please?
Simora [160]
The answer would be C
5 0
3 years ago
-6x-6y =18 6x-3y=27 its supposed to be solving systems by elimination by adding or subracting, im really confused.
Lera25 [3.4K]

Answer:

y = -5

x = 2

Step-by-step explanation:

The computation is show below:

Given that

-6x - 6y = 18

6x - 3y = 27

Now if we solved both equation so

-9y = 45

y = -5

And, x is

-6x - 6(-5)  = 18

-6x + 30 = 18

-6x = 18 - 30

-6x = -12

x = 2

3 0
3 years ago
Find the midpoint of a and b when a has coordinates (-5,3) and b has coordinates (3,-1)
BlackZzzverrR [31]

Answer:

The midpoint is (2 , 1)

Step-by-step explanation:

To find the midpoint, we have to add the corresponding coordinates

[(-5 , 3) + (3 , -1)] / 2

we separate into the corresponding

(-5 + 3) / 2 =

-2 / 2 = -1

(3 - 1) / 2 =

2 / 2 = 1

The midpoint is (2 , 1)

3 0
3 years ago
Help? I will mark brainliest!
butalik [34]

Answer:

As in the other problem with the same logic: 46 pies divided for 9 people=8 ppl • 5 pies and 1 person • 6 pies

40+6= 46

The correct option is D.

7 0
3 years ago
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