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Mekhanik [1.2K]
3 years ago
13

Using the matrices below determine if the product of AB is defined. If defined, state the dimension (Picture provided)

Mathematics
1 answer:
il63 [147K]3 years ago
4 0

Answer:

option C. Defined, 3 x 3

Step-by-step explanation:

The order of matrix A is 3 x 2 i.e 3 rows and 2 columns

The order of matrix B is 2 x 3 i.e. 2 rows and 3 columns

Two matrices can be multiplied if and only if the number of columns of 1st matrix is equal to the number of rows of 2nd matrix. Since the number of columns in matrix A is equal to the number of rows in matrix B, the product AB is defined.

The product AB will have number of rows equal to the rows of 1st matrix i.e. matrix A and number of columns equal to the columns of 2nd matrix i.e. matrix B.

So the order of AB will be 3 x 3 .

Therefore, the correct answer is option C. Defined 3 x 3

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Which expression is equivalent to 1/4y − 1/2
const2013 [10]
Y - 2 / 4

I don't really know how to explain it, but y - 2 / 4 is equivalent to 1/4y - 1/2
6 0
3 years ago
Solve 6x + c = k for x. A. 6(k-c) B. k+c/6 C. k-c/6 D. 6(k+c)
Likurg_2 [28]

Answer:

x=k/6-c/6

hope this helps

Step-by-step explanation:

5 0
3 years ago
Need help on 13 and 14
USPshnik [31]
13. Supplementary angles are two angles that add up to 180 degrees.

3x + x = 180

Combine like terms:
4x = 180

4x divided by 4 = x

180 divided by 4 = 45

x = 45

Equation:
3(45) + 45 = 180

135 + 45 = 180 (TRUE STATEMENT)

Angle A = 135 degrees
Angle B = 45 degrees

This is correct as 135 + 45 adds up to 180 (making it a supplementary angle) AND 135 is 3 times bigger than 45 so it fits the answer’s standard.

Ima do number 14 in the comments as I don’t want to take too long to show number 13.
3 0
2 years ago
ann pays 300 for membership to a local gym. she is allowed to bring one guest on any visit. John pays Ann 5 to go to the gym wit
klemol [59]

Answer:

The expression represents Ann's membership cost as a function of how many times she brings John along. For t = 5 the cost is 275, for t = 10, the cost is 250 and for t = 20 the cost is 200.

Step-by-step explanation:

The expression "300 - 5*t" represents the cost of Ann's membership plan on the local gym, where "t" is the number of visits John pays Ann. This means that the more times John goes to the gym with Ann, the less is her cost to pay the membership.

For t = 5:

cost = 300 - 5*t\\cost = 300 - 5*5 = 275

For t = 10:

cost = 300 - 5*t\\cost = 300 - 5*10 = 250

For t = 20:

cost = 300 - 5*t\\cost = 300 - 5*20 = 200

5 0
3 years ago
Definition: An outcome in a probability experiment.
snow_tiger [21]

Answer: possible result of an experiment

Step-by-step explanation: in probability theory, An outcome is a possible result of an experiment. Each possible outcomes of a particular experiment is unique, and different outcomes are mutually exclusive (Only one outcome Will occur on each trial of the experiment). All of the possible outcomes of an experiment formed elements of a sample space.

6 0
3 years ago
Read 2 more answers
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