1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Lim t^4 - 6 / 2t^2 - 3t + 7
Harman [31]

I think you meant to say

\displaystyle \lim_{t\to2}\frac{t^4-6}{2t^2-3t+7}

(as opposed to <em>x</em> approaching 2)

Since both the numerator and denominator are continuous at <em>t</em> = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:

\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)}

Because these expressions are continuous at <em>t</em> = 2, we can compute the limits by evaluating the limands directly at 2:

\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)} = \frac{2^4-6}{2\cdot2^2-3\cdot2+7} = \boxed{\frac{10}9}

6 0
3 years ago
Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a dilation
Talja [164]
Correct answer is B.
4 0
3 years ago
$37.29 for 2 pairs of jeans
defon
Each pair of jeans is 18.645 or 18.65. This is because if you get to pairs for 37.29, then half of that is equal to 1 pair of jeans.
8 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST!!!! Solve the problems. Write the complete proof in your paper homework and for online (only) respond to
Komok [63]

Answer:

Step-by-step explanation:

we need the problems to solve so erm yeah can you like tell me them please but to solve triangles you have to find the angles. hope i helped a bit

7 0
3 years ago
Read 2 more answers
Expand the following:<br> a) x(x + 2)<br> b) x(2x - 5)<br> c) 2x(3x + 4)<br> d) 6x(x - 2)
TEA [102]

Answer:

<h2>a. \:  {x}^{2}  + 2</h2>

<h2> </h2><h2>b. \: 2 {x}^{2}  - 5x</h2><h2> </h2><h2>c. \: 6 {x}^{2}  + 8x</h2><h3> </h3><h3>d. \: 6 {x}^{2}  - 12x</h3>

solution,

a. \: x(x + 2) \\  \:  \:  = x \times x + 2 \times x \\  \:  \:  =  {x}^{2}  + 2x

b . \: x(2x - 5) \\  \:  = x \times 2x - x \times 5 \\  \:  \:  = 2 {x}^{2}  - 5x

c. \: 2x(3x + 4) \\  \:  = 2x \times 3x + 2x \times 4 \\  \:  \:  = 6 {x}^{2}  + 8x

d. \: 6x(x - 2) \\  \:  \:  = 6x \times x  - 6x \times 2 \\  \:  \:  = 6 {x}^{2}  - 12x

<h2> </h2><h2 />

Hope this helps...

Good luck on your assignment..

4 0
3 years ago
Other questions:
  • The least common denominator of the rational numbers x^2-y^2/(x^2-8x+15) and y^2/15(x^2-6x+9) is
    5·1 answer
  • What is the standard form of a line with the x intercept of 4 and y intercept of -2?
    7·1 answer
  • Find an exact value. <br><br> cosine of negative seven pi divided by twelve
    11·1 answer
  • Checking granddaughter homework not very good with math
    11·1 answer
  • 1 + hk + j use h=-5, j = -6, and k = 6<br> Help me
    15·1 answer
  • ILL GIVE U BRAINLEST
    10·1 answer
  • F r e e<br><br> <br><br> ara ARAAAAAAAA<br><br> say a joke pls i am sad ✋
    11·2 answers
  • What is x=5/2 plz answer
    14·2 answers
  • The designers of sport shoes assume that the force exerted on the soles of shoes in a jump shot is proportional to the weight of
    8·1 answer
  • What is the slope of the line?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!