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ohaa [14]
3 years ago
15

A= [2, 3; 2, 1], B=[3; 5]. Find AB & BA if possible

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
5 0

Answer:

The value of AB is \left[\begin{array}{ccc}21\\11\end{array}\right] and it's not possible to multiply BA.

Step-by-step explanation:

Consider the provided matrices.

A=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right], B=\left[\begin{array}{ccc}3\\5\end{array}\right]

Two matrices can be multiplied if and only if first matrix has an order m × n and second matrix has an order n × v.

Multiply AB

Matrix A has order 2 × 2  and matrix B has order 2 × 1. So according to rule we can multiply both the matrix as shown:

AB=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right] \left[\begin{array}{ccc}3\\5\end{array}\right]

AB=\left[\begin{array}{ccc}2\times 3+3\times 5\\2\times 3+1\times 5\end{array}\right]

AB=\left[\begin{array}{ccc}6+15\\6+5\end{array}\right]

AB=\left[\begin{array}{ccc}21\\11\end{array}\right]

Hence, the value of AB is \left[\begin{array}{ccc}21\\11\end{array}\right]

Now calculate the value of BA as shown:

Multiply BA

Matrix B has order 2 × 1  and matrix A has order 2 × 2. So according to rule we cannot multiply both the matrix.

We can multiply two matrix if first matrix has an order m × n and second matrix has an order n × v.

That means number of column of first matrix should be equal to the number of rows of second matrix.

Hence, it's not possible to multiply BA.

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Answer:

B) 9

Step-by-step explanation:

110 + 75 + 11x - 9 + 8x + 13 = 360

19x + 189 = 360

19x (+ 189 - 189) = 360 - 189

19x = 171

19x/19 = 171/19

x = 9

3 0
2 years ago
Determine the equation of the line given by the graph. A) y = 5 3 x − 4 B) y = 3 5 x − 4 C) y = − 5 3 x + 4 D) y = − 3 5 x + 4
GalinKa [24]

Answer:

Where is the Graph?

Step-by-step explanation:

3 0
2 years ago
I really extremely need help! I will give you 5 stars and branilest
Ivanshal [37]

Answer:

37.5%

Step-by-step explanation:

12\32 = 6\16=3\8 =0.375

=37.5%

7 0
2 years ago
Harold has 4 classes each morning. Each class is 1 hour long, and there are 10 minutes between classes. The first class is at 8
Viktor [21]

The fourth class ends at 12:30 pm

<em><u>Solution:</u></em>

Given that Harold has 4 classes each morning

Each class is 1 hour long, and there are 10 minutes between classes

The first class is at 8 A.M

<em><u>To find: Time at which fourth class ends</u></em>

Since each is 1 hour long and 10 minutes gap between classes

First class = 8 A.M to 9 A.M

Second class = 9:10 A.M to 10 : 10 AM

Third class = 10 : 20 AM to 11 : 20 AM

Fourth class = 11 : 30 AM to 12 : 30 PM

Thus the fourth class ends at 12:30 pm

4 0
2 years ago
Which of the sets of ordered pairs represents a function?
IgorC [24]

Answer:

Neither set A nor set B represents a function.  

Step-by-step explanation:

According to the definition of a function, for each input there exists a unique output. In other word for each value of x there exists unique value of y.

In set A we have four ordered pair (-4,5),(1,-1),(2,-2) and (2,3).

It means for x=2, we have two values of y, i.e., -2 and 3.

Since for a single value of x there exist more than one value of y, therefore set A is not a function.

In set B we have four ordered pair (2,2),(3,-2),(9,3) and (9,-3).

It means for x=9, we have two values of y, i.e., -3 and 3.

Since for a single value of x there exist more than one value of y, therefore set B is not a function.

3 0
3 years ago
Read 2 more answers
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