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Bezzdna [24]
3 years ago
13

Every orthogonal matrix is diagonalizable. O True O False

Mathematics
1 answer:
Simora [160]3 years ago
5 0

Answer:

FALSE

Step-by-step explanation:

the correct answer is FALSE

A matrix is said to be orthogonal when it is  multiplied by its own transpose then the matrix comes out to be Identity.

                                      A^T.A = I

the basic condition for a matrix to be diagonalizable is that the matrix should be symmetric.

but an orthogonal matrix is not necessarily symmetric so, the statement is false.

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Find the area or this triangle ​
Arlecino [84]

Answer:

Area of triangle = 15 square units

Step-by-step explanation:

We need to find area of the triangle, given the vertices:

A=(4,0)

B=(1,5)

C=(7,5)

The formula used is: Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))

We have: x_1 =4, y_1 =0, x_2 =1, y_2=5, x_3=7 , y_3=5

Putting values and finding area

Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))\\Area\:of\:triangle=\frac{1}{2}(4(5-5)+1(5-0)+7(0-5))\\Area\:of\:triangle=\frac{1}{2}(4(0)+1(5)+7(-5))\\Area\:of\:triangle=\frac{1}{2}(0+5-35)\\Area\:of\:triangle=\frac{1}{2}(-30)\\Area\:of\:triangle=-15

We will be ignoring negative sign, because area of triangle is positive.

So, Area of triangle = 15

3 0
2 years ago
What is the probability of choosing a burrito with cheese and a taco or a wrap with salsa?
neonofarm [45]
7:2
Step-by-step explanation:
Step one is to think about how often tacos are made. Tacos are made often. Now think about how often Wraps are made, not very often. After some research, the ratio is 7 burritos to 2 wraps. This would make the answer 7:2. Unfortunately tacos are more loved than Wraps.
3 0
3 years ago
Amanda and Stephen wrote the following proofs to prove that vertical angles are congruent. Who is correct? Line segment NT inter
jolli1 [7]
In fact, both Amanda's and Stephen's profs are correct; they are just using different supplementary angles. Amanda's is using the supplementary angles <span>∠1 and ∠4, and</span> ∠3 and ∠4, whereas Stephen is using ∠1 and ∠2, and <span>∠2 and ∠3.</span><span>  </span>Please check the picture to visualize this more effectively.

6 0
3 years ago
Read 2 more answers
What number is 37 1/2% of 32?
Serggg [28]
37.5% of 32 is 12

if you move the decimal point in the percentage 2 places to the left you will get a number you can multiply with 

so 0.375 x 32 = 12


6 0
3 years ago
Ten is less than or equal to the difference of a number and negative 4:
pentagon [3]

Answer:

n - (-4) ≥ 10

4(n+5) ≥ 48

Step-by-step explanation:

n - (-4) ≥ 10

n + 4 ≥ 10

n ≥ 6

4(n+5) ≥ 48

4n + 20 ≥ 48

4n ≥ 28

n ≥ 7

4 0
2 years ago
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