Question

givne a matrix A m by n.....there exist matrices C and D such that such that cA = I of n by n and AD = I m by m
prove that C=D and m =n

Answer 1

the problem is one of inverse matrices.
given
\[AA^{-1} = A^{-1}A=I_x\] where x is the dimension of a square matrix,

the rest should follow

Answer 2

Suppose A is an m n matrix and there exist matrices C and D such that CA = In and
AD = Im. Prove that m = n and C = D.

Answer 3

\[X_{mn}Y_{kl}=Z_{ml}\] and \[n=m\] for any matrices X,Y
Since \[I_n\] is a square matrix
\A_{mn}C_{xy}=I_{n} \quad n=x,\text { and }m=y=n \]

Answer 4

\[A_{mn}C_{xy}=I_{n} \quad n=x,\text { and }m=y=n \]

Answer 5

sorry, and \[n=k\]

Answer 6

math check

Answer 7

Math help

Answer 8

Math help

Answer 9

Joe takes part in math competitions. A particular contest consists of 25 multiple-choice questions, and each question has 5 possible answers.

Answer 10

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Answer 11

Math help

Answer 12

Math help please

Answer 13

For the graph, which are possible functions u0192 and g?

https://dlap.gradpoint.com/Resz/~0.WizMacW1O0YyUA6.3mlS9pk2V_dxq3Z3V_nFYjSGI1H7UJXF1eNTFTnwZ-I/7234256,D94/Assets/questions/quiz/precalculus/pcalexpo/IMG73460.png

Answer 14

i need some help please

Answer 15

Select the correct answer.
Read this excerpt from "The Third Philippic," written by Demosthenes in 342 B.

Answer 16

Jackson is teaching a class the concept of the binary number system. Which term w

Answer 17

Affirmative action policies were originally designed to _____.

make sure a certa

Answer 18

What two Democratic leaders constantly challenged President Carter during his adm

Answer 19

Is the function u0192(x) = xu2078 an exponential function? If so, identify the base.

Answer 20

Perform the arithmetic operation. Write it in the simplest form. 5 yd. 1 ft. - 2 yd.

Answer 21

The narrator's description of Kunthi as "a thin, slight girl" connotes that

Answer 22

Math help

Answer 23

I just write whatever comes to mind, so..ye.

- Endless -

Answer 24

Which term describes the point where the perpendicular bisectors of the three sid

Answer 25

Write the Standard Form of the line with x-intercept of 3 and y-intercept of 4.