irishgurl1248513 irishgurl1248513

21-07-2017
Mathematics

contestada

let A and B be nxn matrices such that AB is singular prove that either A or Bis singular

Respuesta :

LammettHash LammettHash

21-07-2017

[tex]\det(\mathbf{AB})=\det\mathbf A\times\det\mathbf B[/tex]

Because [tex]\mathbf{AB}[/tex] is singular, we have

[tex]\det(\mathbf{AB})=0[/tex]

from which it follows that either [tex]\det\mathbf A=0[/tex] or [tex]\det\mathbf B=0[/tex].

Answer Link

Otras preguntas

A new uniform cost 49.99 if its on sale for 15% off what is the cost before tax

Write the phrase as an expression. Then evaluate when x=5 . 6 more than the product of 8 and a number x

4. What is the sum of trigonometric ratios Cos 16 and Cos 747 A. 0.276 B. 0.961 0.1.237 D. 1.922

What does the word punctilious most likely suggest? Select two options

HELP Write the explicit and recursive sequences for the following 1. 35, 32, 29, 2 Recursive Sequence:? Explicit Sequence:? 2. 9, 14, 19, 24..... Recursive Sequ

Pls help me plssss. Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69,65, 87. What is the mean height of Bella's c

Alexander’s army was alert because they a. had stood guard all night. c. were poorly fed and tired. b. expected a night attack. d. were well fed and rested.

On the last day of the fiscal year, a co-worker asks you to cut a check for $2,000 as a miscellaneous expense for supplies in order to complete a project for a

Rolling friction is _________ than sliding friction.

First to answer gets BRAINLY!!