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
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.

You might be interested in
A grocery clerk made this graph to relate the number of pounds of peaches and plums to the cost.
Alecsey [184]

Answer:

(A) The quantities form a proportional relationship for both peaches and plums.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
State the solution of the system of linear equation using its grap<br> 6.<br> SOLUTION: (<br> -2
IRINA_888 [86]

Answer:

Solution is (2, -1)

Step-by-step explanation:

The lines cross  at the point where x = 2 and y = -1.

3 0
3 years ago
Juanita is 13 years older than her cousin. The sum of their ages is no less than 103 years. Enter an inequality that can be used
Bond [772]
Please see below solution:

y = x + 13<span>
y + x ≥ 103
x + 13 + x ≥ 103
Inequality is:
2 x + 13 ≥ 103
2 x ≥ 103 - 13
2 x ≥ 90
x ≥ 90 : 2
x ≥ 45
<span>The youngest age Juanita`s cousin can be is 45.</span></span>

6 0
3 years ago
Which represents a quadratic function? f(x) = −8x3 − 16x2 − 4x f (x) = x 2 + 2x − 5 f(x) = + 1 f(x) = 0x2 − 9x + 7
Katena32 [7]
\text{A quadratic function:}\ f(x)=ax^2+bx+c\\\\\text{where}\ a\neq0
f(x)+-8x^3-16x^2-4x-NOT\\\\f(x)=x^2+2x-5-YES\\\\f(x)=?+1-NOT\\\\f(x)=0x^2-9x+7-NOT

8 0
3 years ago
Read 2 more answers
-9y - 2 (2 - 7y) + 4
poizon [28]

Answer:

-9y-2(2-7y)+4 expand the brackets using-2

Step-by-step explanation:

-9y-4+14y+4

arrange the like terms

-9y+14y-4+4

=5y becoz -4+4=0

ans=5y

7 0
3 years ago
Read 2 more answers
Other questions:
  • You and three friends earn money by painting houses. You agree to split the profits equally. You buy brushes, tape, and paint fo
    7·1 answer
  • Doug has a weekend job. He earns $9.50 an hour and works 6 hours on Saturday. He works some more hours on Sunday, and his payche
    9·1 answer
  • The distance between two points needs to be measured, in meters. The true distance between the points is 10 meters, but due to m
    9·1 answer
  • Yo, i really need help with this question
    12·1 answer
  • Image down below thx option d is in the back it is 9
    13·2 answers
  • Help ASAP! ill mark brainliest if correct
    7·1 answer
  • If BC = 5, DE = 9, and AB = 4, what is the length of AD?<br><br><br> 7<br> 8<br> 7.2<br> 7.5
    8·1 answer
  • Ayo help me please, i tried to do it myself but i didnt get any of the answers provided
    9·2 answers
  • Ali and Sami share some sweets in the ratio 4: 7. Sami receives 15
    5·1 answer
  • Hey guys, hope your day is going well, can you plz help me with is question thank you, i will give 10 pts.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!