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VARVARA [1.3K]
3 years ago
15

Every orthogonal matrix is invertible. O True O False

Mathematics
1 answer:
scZoUnD [109]3 years ago
7 0

Answer:

True

Step-by-step explanation:

Every orthogonal matrix is invertible. This is a true statement.

Orthogonal matrices are square matrix whose rows and columns are orthogonal unit vectors.

In an orthogonal matrix columns are linearly independent and since the columns are linearly independent the matrix will be matrix will be invertible. This is according to invertible matrix theorem.

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Find h if V = 30.45 ft3, l = 6.3 ft, and w = 2.5 ft.​
jok3333 [9.3K]

The height (h) of the rectangular prism is: 1.9 feet.

<h3>How to Find the Volume of a Rectangular Prism?</h3>

A rectangular prism has a length (l), height (h), and a width (w). The volume of the rectangular prism is calculated using the formula given as: V = (length)(width)(height).

Given the following parameters:

Volume of the rectangular prism = 30.45 ft^3,

Length (l) = 6.3 ft,

Width (w) = 2.5 ft.​

Height of the rectangular prism (h) = ?

Plug in the values

(6.3)(2.5)(h) = 30.45

15.75h = 30.45

15.75h/15.75 = 30.45/15.75

h ≈ 1.9 ft

Learn more about volume of rectangular prism on:

brainly.com/question/12917973

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4 0
1 year ago
What is the length of leg s of the triangle below?
Alchen [17]

The question is not well formatted. A ell formatted version of the question type is attached and solved below :

Answer:

10

Step-by-step explanation:

Using trigonometry :

Taking the angle 45°

From trigonometry :

Sin θ = opposite / hypotenus

Opposite = s ; hypotenus = 10√2

Sin 45 = s / 10√2

Recall :

Sin 45 = 1/√2

We have ;

1/√2 = s / 10√2

s = 10√2 * 1/√2

s = 10√2 / √2

s = 10

6 0
2 years ago
I need help with this someone please help!
Dafna1 [17]

Answer:

Step-by-step explanation:

5 0
3 years ago
Which equation represents the line that passes through the points (-1,-2) and (3,10)
anyanavicka [17]

Answer:

(10+2)/(3+1)= 12/4= 3

y +2= 3(x+1)

y +2=3x+3

y = 3x+1

8 0
2 years ago
71 is 25% of what number?
In-s [12.5K]
71 * 4 = 284

The answer is 284
7 0
3 years ago
Read 2 more answers
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