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
zepelin [54]
4 years ago
8

Let Upper A equals left bracket Start 2 By 2 Matrix 1st Row 1st Column negative 2 2nd Column 4 2nd Row 1st Column 1 2nd Column 3

EndMatrix right bracketA=
−2 4
1 3
​, and Upper B equals left bracket Start 2 By 2 Matrix 1st Row 1st Column negative 2 2nd Column 1 2nd Row 1st Column 3 2nd Column 7 EndMatrix right bracketB=

−2 1
3 7
.a. Find

ABAB​,

if possible. b. Find

BABA​,

if possible.

c. Are the answers in parts a and b the ​same?

d. In​ general, for matrices A and B such that AB and BA both​ exist, does AB always equal​ BA?

a. Find

ABAB​,
Mathematics
2 answers:
Yuliya22 [10]4 years ago
3 0

Answer: a) AB = \left[\begin{array}{ccc}-14&26\\-11&22\end{array}\right] ; b) \left[\begin{array}{ccc}5&-5\\13&9\end{array}\right] ; c) No, they are different; d) No, they are never the same;

Step-by-step explanation:

a) A = \left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] , B = \left[\begin{array}{ccc}-2&1\\-3&7\end{array}\right]. This multiplication is possible, because matrix A has 2 columns and matrix B has 2 rows. When those value are equal, the multiplication is possible.

AB = \left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] . \left[\begin{array}{ccc}-2&1\\-3&7\end{array}\right] = \left[\begin{array}{ccc}-14&26\\-11&22\end{array}\right]

b) BA = \left[\begin{array}{ccc}-2&1\\-3&7\end{array}\right] . \left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] = \left[\begin{array}{ccc}5&-5\\13&9\end{array}\right]

c) As, we can see, parts a and b are differents.

d) With matrices, multiplication is not commutative, which means AB≠BA

Anuta_ua [19.1K]4 years ago
3 0

Answer:

(a)=\left(\begin{array}{cc}14 & 26\\7 & 22\end{array}\right)

(b)\left(\begin{array}{cc}5 & -5\\1 & 33\end{array}\right)

(c)No

(d)AB≠BA

Step-by-step explanation:

A= \left(\begin{array}{cc}-2 & 4\\1 & 3\end{array}\right)

B= \left(\begin{array}{cc}-2 & 1\\3 & 7\end{array}\right)

(a)

AB=\left(\begin{array}{cc}-2 & 4\\1 & 3\end{array}\right) \left(\begin{array}{cc}-2 & 1\\3 & 7end{array}\right)

=\left(\begin{array}{cc}-2*-2+4*3 &-2*1+4*7\\1*-2+3*3 & 1*1+3*7\end{array}\right)

=\left(\begin{array}{cc}14 & 26\\7 & 22\end{array}\right)

(b) BA=\left(\begin{array}{cc}-2 & 1\\3&7\end{array}\right)\left(\begin{array}{cc}-2 & 4\\1 & 3\end{array}\right)

=\left(\begin{array}{cc}-2*-2+1*1 & -2*4+1*3\\3*-2+7*1 &3*4+7*3\end{array}\right)=\left(\begin{array}{cc}5 & -5\\1 & 33\end{array}\right)

(c)No

(d)For Matrices A and B, AB≠BA.

Matrix Multiplication is not Commutative.

You might be interested in
-5/6+ -5/6 please help me
ehidna [41]
(-5/6)+(-5/6) have the same denominator (number at bottom of fraction), so all you have to do is add the numerator(top number). So -5 +-5 =-10 . Now you have -10/6, which simplifies to -5/3. 
Hope this helps :)
5 0
3 years ago
Read 2 more answers
What is the rule in the input/output table? A) add 4 B) subtract 4 C) divide by 2 D) multiply by 2 | inputs | 4 6 and 8 | output
MissTica

The rule in the input/out is D multiply by 2

4 0
3 years ago
Read 2 more answers
The equation of line m is 3x−5y=−4
vaieri [72.5K]
Slope of this line, -5y = -3x - 4
y = 3/5x + 4/5
So, slope of line which is perpendicular = -5/3  [reciprocal & opposite ]

In short, Your Answer would be -5/3

Hope this helps!
4 0
4 years ago
What is 4 divide 120<br> Show me that<br> divide by 120
Lena [83]

Answer: 120 divided by 4 = 30

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
3x-2=2(x-5)<br><br>find the value of x ​
kipiarov [429]

Now we have to,

find the required value of x.

Let's begin,

→ 3x-2 = 2(x-5)

→ 3x-2 = 2x-10

→ 3x-2x = -10+2

→ x = -8

Hence, value of x is -8.

5 0
3 years ago
Read 2 more answers
Other questions:
  • 8(-5k+7)+5=301<br> Please help!!!
    10·2 answers
  • What is compatible number to find two estimates that the quotient is between 1624÷3
    14·1 answer
  • What is the interest due on $5,000 at 11% for 3 years?
    13·2 answers
  • Find the probability of each compound event
    12·1 answer
  • Draw counters. Show how 7 is 5 and 2
    6·2 answers
  • What is the common difference between consecutive terms in the following arithmetic sequence? 51, 47, 43, 39, ...
    13·2 answers
  • Define interest rate
    5·1 answer
  • I dint understand this what’s the answer?
    11·1 answer
  • Determine the slope of a line passing through (4, 2) and (-2, 1)
    5·2 answers
  • A number cube with faces labeled 1 through 6 is rolled 200 times. About how many times would you expect to roll an even number?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!