Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

QUESTION 1Given a n x m matrix A and m X p matrix B, if AB = 0 then A = 0 or B = 0.TrueFalseQUESTION 2Given an xm matrix A,an n x n identity matrix I, exists such that I, A = Al, = A.TrueFalse

Sagot :

Given:

[tex]A_{n\times m},B_{m\times p}[/tex]

If AB = 0,

Then it is not necessary that A=0 or B=0

To prove this, we consider an example:

Let n=m = p =2

Then AB is given as:

Clearly AB= 0 but A,B not equals to zero.

Hence, the given statement is not true.

Hence, the answer is false.

View image JodenX77652
View image JodenX77652
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.