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
ad-work [718]
3 years ago
9

Compute the product AB by the definition of the product of​ matrices, where A and A are computed​ separately, and by the​ row-co

lumn rule for computing AB. A ​, B Set up the product A​, where is the first column of B. A nothing nothing ​(Use one answer box for A and use the other answer box for ​.) Calculate A​, where is the first column of B. A nothing ​(Type an integer or decimal for each matrix​ element.) Set up the product A​, where is the second column of B. A nothing nothing ​(Use one answer box for A and use the other answer box for ​.) Calculate A​, where is the second column of B.
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0

Complete Question

The complete question is shown on the first uploaded image

Answer:

First question

   Ab_1 = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]\left[\begin{array}{ccc}5\\-2\\\end{array}\right]

Second question

 Ab_1 = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]\left[\begin{array}{ccc}5\\-2\\\end{array}\right] = \left[\begin{array}{ccc}{(-1 * 5 )+ (3* -2)}\\{(1 * 5)+ (4 * -2)}\\{(5 * 5) + (8*-2)}\end{array}\right]  = \left[\begin{array}{ccc}{-11}\\{-3}\\{29}\end{array}\right]

 Third question

  Ab_1 = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]\left[\begin{array}{ccc}-3\\4\\\end{array}\right]

 Fourth question

  Ab_1 = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]\left[\begin{array}{ccc}-3\\4\\\end{array}\right] = \left[\begin{array}{ccc}{(-1 * -3 )+ (3* 4)}\\{(1 * -3)+ (4 * 4)}\\{(5 * -3) + (8*4)}\end{array}\right]  = \left[\begin{array}{ccc}{15}\\{13}\\{-23}\end{array}\right]

Fifth question

  The correct option is A

Step-by-step explanation:

From the question we are told that

  The matrix  A  is  A = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]

   The matrix B is   B = \left[\begin{array}{ccc}5&{-3}\\{-2}&4\end{array}\right]

The first question is to set up the product Ab_1  , where b_1 is the first column of matrix B, this shown as

          Ab_1 = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]\left[\begin{array}{ccc}5\\-2\\\end{array}\right]

The second question is to calculate Ab_1 , this is evaluated as

          Ab_1 = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]\left[\begin{array}{ccc}5\\-2\\\end{array}\right] = \left[\begin{array}{ccc}{(-1 * 5 )+ (3* -2)}\\{(1 * 5)+ (4 * -2)}\\{(5 * 5) + (8*-2)}\end{array}\right]  = \left[\begin{array}{ccc}{-11}\\{-3}\\{29}\end{array}\right]

The third question is to set up the product Ab_2  , where b_2 is the second column of matrix B, this shown as

          Ab_1 = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]\left[\begin{array}{ccc}-3\\4\\\end{array}\right]

The fourth question is to calculate Ab_2 , this is evaluated as

          Ab_1 = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]\left[\begin{array}{ccc}-3\\4\\\end{array}\right] = \left[\begin{array}{ccc}{(-1 * -3 )+ (3* 4)}\\{(1 * -3)+ (4 * 4)}\\{(5 * -3) + (8*4)}\end{array}\right]  = \left[\begin{array}{ccc}{15}\\{13}\\{-23}\end{array}\right]

The fifth question is to determine the numerical expression for the first entry in the first column of AB using the row-column rule and from the calculation of Ab_1 we see that it is

      {(-1 * 5 )+ (3* -2)}

You might be interested in
Can I just keep asking ya'll for the answers ? lol
Xelga [282]

The first one: r + 6 is greater than or equal to 45

3 0
3 years ago
Find the student’s error in solving the following inequality.
Mars2501 [29]

Answer:

The correct option is:

The student should have switched the direction of the inequality sign to get –5> x for a final answer

Step-by-step explanation:

The students has made a mistake in the 3rd step.

We know that when we multiply or divide any negative number on both sides of the inequality, the sign of inequality  reverse its direction.

In step 3 the student divided 25 by -5 but did not  switch direction of the inequality sign.

Therefore the correct option is: The student should have switched the direction of the inequality sign to get –5> x for a final answer

5 0
3 years ago
PLEASE HELPPLEASE HELP WILL GIVE POINTS!!!
Scorpion4ik [409]

The answer is 70/100

5 0
3 years ago
Read 2 more answers
a room contains 156.1m of air . if the room is 8.31m long and 5.72m wide . use tabe to calculate it height​
irga5000 [103]

Answer:

height=3.28m

Step-by-step explanation:

air means volume of room

let the height of room be x.

so, volume of room= 156.1 m³

          8.31*5.72*x=156.1m³

           x =3.28m

8 0
3 years ago
Anna is 4ft 9in tall. Express Anna's height in feet only by using a mixed number. If necessary, simplifyvthe fraction part of th
Svetach [21]
So we know that there are 12 inches in a foot. With this information we can do this:4 \frac{9}{12} But if you look you can see that the fraction is not simplified. How can we simplify it? Well, what is the Greatest Common Factor of 9 and 12? Well, the answer is 3! So divide 9 and 12 by three! SO the answer would be: 4 \frac{3}{4} I hope this helps!
6 0
3 years ago
Other questions:
  • What is the compound interest of $1000 at 12%compounded monthlyfor 2 years​
    6·2 answers
  • Imagine an experiment having three conditions and 20 subjects within each condition. The mean and variances of each condition ar
    9·1 answer
  • The width of the triangle is 3/4 the length. The perimeter is 252cm. What is the width of the triangle.
    6·1 answer
  • PLEASE HELP ME!!!! WILL MARK BRAINLIEST!!
    12·1 answer
  • What would be the answer for 24y =7
    13·1 answer
  • Jessica went to the mall and used 1/6 of her money on lunch. What is the fraction of her money expressed as a decimal?
    8·2 answers
  • What is the area of the shape below.
    13·2 answers
  • PLEASE HELP!!! NO BOTS!! solve for x​
    9·1 answer
  • K +-23 = -100<br>help me
    13·1 answer
  • Solve:<br> (3 × 9) + (5 + 8) + (33 ÷ 3) =
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!