subject
Mathematics, 16.04.2020 19:39 mooreadrian41235

Why is the statement in (a) true? A. The columns of a matrix A are linearly independent if and only if the equation Axequals=0 has more unknowns than equations so there must be free variables. This happens if and only if there are m pivot columns. B. The columns of a matrix A are linearly independent if and only if the equation Axequals=0 has only the trivial solution. This happens if and only if Axequals=0 has no free variables, meaning every variable is a basic variable, that is, if and only if there are 0 pivot columns. C. The columns of a matrix A are linearly independent if and only if Axequals=0 has no free variables, meaning every variable is a basic variable, that is, if and only if every column of A is a pivot colunm.

ansver
Answers: 2

Another question on Mathematics

question
Mathematics, 21.06.2019 13:50
Samantha swam upstream for some distance in one hour. she then swam downstream the same river for the same distance in only 12 minutes. if the river flows at 4 mph, how fast can samantha swim in still water?
Answers: 1
question
Mathematics, 21.06.2019 22:00
Worth 100 points need the answers asap first row -x^2 2x^2 (x/2)^2 x^2 x is less than 2 x is greater than 2 x is less than or equal to 2 x is greater than or equal to 2 second row -5 -5/2 4 5 •2 is less than x& x is less than 4 •2 is less than or equal to x & x is less than or equal to 4 •2 is less than or equal to x& x is less than 4 •2 is less than x& x is less than or equal to 4
Answers: 2
question
Mathematics, 22.06.2019 03:30
The elmina wilson company produces spaghetti sauce that is used in restaurants. the fixed costs total $1,329,050. the selling price per 64 oz. can of sauce is $12.40. the variable cost per can is $4.80. what is the break-even point in number of cans?
Answers: 1
question
Mathematics, 22.06.2019 03:30
What is number 31 as a sum of tens and ones?
Answers: 2
You know the right answer?
Why is the statement in (a) true? A. The columns of a matrix A are linearly independent if and only...
Questions
question
Mathematics, 29.07.2020 21:01
question
Mathematics, 29.07.2020 21:01
question
Mathematics, 29.07.2020 21:01
question
Mathematics, 29.07.2020 21:01
Questions on the website: 13722360