All categories

3 years ago

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.

You might be interested in

7987.1569 to the nearest thousandth

natima [27]

Answer:

7987.1569 to the nearest thousandths is 7987.157

Step-by-step explanation:

7 0

3 years ago

To some Marines one cruising at 25 kn in the other 20 kn left the naval base at the same moment. Three hours later they were 100

Rus_ich [418]

I believe you would have to multiply both 25 and 20 and what ever number you get dived by 100 if the numbers to high multiply aging or subtract the number (if it's wrong I'm really not good at my math I'm sorry)

3 0

3 years ago

Which if of the following is not true.

guapka [62]

Answer:

It will be the last one

Step-by-step explanation:

This is because the slope for AB is 1/3 while BC is 2/3

Hope this Helped

6 0

3 years ago

The college is selling tickets to the basketball ball game for $59.30 each.So far they have made $213,480 in ticket sales . How

Alex73 [517]

Answer:

Step-by-step explanation:

Shift the decimals of both 213480 and 59.3 to the right by 2 decimal places. (This is needed to convert 59.3 to 5930, since long division must divide by a whole number.)

21348000÷5930

Therefore, 213480\div 59.3=3600213480÷59.3=3600.

3 0

3 years ago

In triangle ABC, cos A =

nikitadnepr [17]

The other expression that has a value of $\frac{7}{25}$ is A) sin B.

Step-by-step explanation:

Step 1:

$sin\theta = \frac{oppositeside}{hypotenuse} ,$ $cos\theta = \frac{adjacentside}{hypotenuse} ,$ $tan \theta = \frac{opposite side}{adjacent side} .$

For angle B, the opposite side measures 7 units, the adjacent side measures 24 units and the hypotenuse measures 25 units.

$sinB= \frac{oppositeside}{hypotenuse} = \frac{7}{25} ,$ $tan B = \frac{opposite side}{adjacent side} = \frac{7}{24} ,$ $cosB = \frac{adjacentside}{hypotenuse} = \frac{24}{25}.$

Step 2:

For angle A, the opposite side measures 24 units, the adjacent side measures 7 units and the hypotenuse measures 25 units.

$tan A = \frac{opposite side}{adjacent side} = \frac{24}{25} .$

Step 3:

tan C cannot be determined as C is the right angle. The opposite side and hypotenuse of the triangle would be the same.

So sin B also has a value of $\frac{7}{25}.$ This is option A.

7 0

3 years ago