Example of multiplication of matrix, Mathematics

Assignment Help:

Given

1983_Example of Multiplication.png

So calculate AB.

Solution

The new matrix will contain size 2 x 4. The entry in row 1 and column 1 of the new matrix will be determined by multiplying row 1 of A with column 1 of B. It means that we here multiply corresponding to entries from the row of A and the column of B and then add the results up.  Here are a couple of the entries computed all the way out.

c11 = (2)(1) + (-1)(-4) + (0)(0) = 6

c13  = (2)(-1) + (-1) (1) + (0) (0) = -3

c24 = (-3) (2) + (6) (0) + (1)(-2) = -8

Here's the absolute solution.

2152_Example of Multiplication1.png

In this last illustration see that we could not have done the product BA as the number of columns of B doesn't match the number of row of A. This is significant to note that just because we can calculate AB doesn't mean that we can calculate BA. Similarly, even though we can calculate both AB and BA they may or may not be similar matrix.


Related Discussions:- Example of multiplication of matrix

Operation research, can u suggest me topics for phd in or for any industrie...

can u suggest me topics for phd in or for any industries

#Famous Numbers Exercise, Euler''s Constant (e) Approximate the number to t...

Euler''s Constant (e) Approximate the number to the one hundredth, one ten-thousandths, and one one-hundred-millionth.

Solve the following word problems, 1.   The length of a rectangle is 2 time...

1.   The length of a rectangle is 2 times its width.  The area of the rectangle is 72          square inches. Find the dimensions of the rectangle.   2.   The length of a rec

Decision theory, DECISION THEORY People constantly make decision...

DECISION THEORY People constantly make decisions in their private lives as well as in their work. Some decisions are qualitative in terms of their implications and signi

The multiplication algorithm, THE MULTIPLICATION ALGORITHM :  Some Class 3...

THE MULTIPLICATION ALGORITHM :  Some Class 3 children in a nearby school had been taught the standard multiplication. Algorithm, and had even done reasonably well in the tests bas

Incircle, ab=8cm,bc=6cm,ca=5cm draw an incircle.

ab=8cm,bc=6cm,ca=5cm draw an incircle.

Divison, what is 24 diveded by 3

what is 24 diveded by 3

How many points did he score during his senior year, Michael scored 260 poi...

Michael scored 260 points during his junior year on the school basketball team. He scored 20% more points during his senior year. How many points did he score during his senior yea

Concrete to abstract-how mathematical ideas grow, Concrete to Abstract :  ...

Concrete to Abstract :  Mathematics, like all human knowledge, grows out of our concrete experiences. Let us take the example of three-dimensional shapes. Think about how you came

Greens function, construct the green''s function that satisfies dG''''-(2x+...

construct the green''s function that satisfies dG''''-(2x+1)G''+(x+1)G=delta(x-s), G(0,s)=G(1,s)=0

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd