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pashok25 [27]
3 years ago
7

Let A be a 3 by 6 , B be a 6 by 7 and C be a 7 by 3 matrix. Determine the size of the following matrices (if they do not exist,

type N in both answer boxes):
a. AB: ______ by ________
b. BA: ______ by ________
c. A^TB: _______ by ________
d. BC: __________ by ________
Mathematics
1 answer:
kozerog [31]3 years ago
6 0

Answer:

a. AB: 3 by 7

b. BA: N by N

c. A^TB: N by N

d. BC: 6 by 3

Step-by-step explanation:

Given

A =3\ by\ 6

B =6\ by\ 7

C =7\ by\ 3

Required

The dimension of the following matrices

As a general rule:

For A * B to be successful, the columns in a must equal the rows in B

Using this rule, we have:

A_{m*n} * B_{n * p} = AB_{m*p}

So:

(a)\ AB

A_{3*6} * B_{6*7} \to AB_{3 * 7}

(b)\ BA

B_{6*7} * A_{3*6} \to AB_{N * N}

The column numbers of B does not equal the row numbers of A.

Hence, BA does not exist

(c)\ A^TB

A^T implies that:

If A =3\ by\ 6, then

A^T = 6\ by\ 3

So:

A^T_{6*3} * B_{6,7} \to A^TB_{N*N}

The column numbers of A^T does not equal the row numbers of B.

Hence, A^TB does not exist

(d)\ BC

B_{6*7} * C_{7*3} \to BC_{6,3}

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Answer:0.8413

Step-by-step explanation:

Mean= 188, Std Dev. =20.8, Z=(x-mean)/Std Dev

P(X less than 167.2)= P(Z less than (167.2-188)/20.8)

=P(Z less than (-20.8/20.8))

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The value of 1 in the normal distribution table is 0.3413

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6 0
3 years ago
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svp [43]

Answer:

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Step-by-step explanation:

The formula for the volume of a sphere is 4/3πr^3.

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   = 4/3π(2.5^3)

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3 years ago
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Misha Larkins [42]

Answer:

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Step-by-step explanation:

I hope this is what you mean because this is not an equation as it is not set equal to anything.


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PLEASE HELP WILL MARK BRAINLIEST. Which number is a solution of the inequality?
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Answer: 5

Step-by-step explanation:

Hope this helps 100% Verified from math>way

4 0
3 years ago
Read 2 more answers
Please answer this worth 10 points<br><br> look in the image plz
Pachacha [2.7K]
1) It’s true because -5 is way smaller than 3. All the negatives are below the 0 and everything below the 0 is lower than everything above the 0.

2) false. it’s false because in order -5 isn’t even close to 3

3) false.. It’s false because when you have those 2 line that are covering the -5 that means it’s “transforming” into a positive number. So therefore it’s would be 5>3 that would make it true.

4) True. it’s true because like I said the to lines mean the absolute value of something. So it’s being switch to a positive number


Hope this helps :)
5 0
3 years ago
Read 2 more answers
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