Ais a 2×5 matrix with two pivot positions. (a) does the equation axequals=0 have a nontrivial solution? a. yesb. no(b) does the equation axequals=b have at least one solution for every possible b? a. yes
b. no

(a) A (b) A

Step-by-step explanation:

Ax = 0 does have a

non—trivial solution ,option A

and Ax = b does have at least one solution for any

given b..option A

For a 2*5 matrix with two pivot positions .If a matrix is in row-echelon form, then the first nonzero entry of each row is called a pivot, and the columns in which pivots appear are called pivot columns. ..

For example

when Ax = 0

x₁ + 2x₂+ 4x₃+ 5x₄ -2x₅ = 0

x₂ + 3x₃ + x₄ +2x₅ = 0

The system of equation has a non trivial solution

And for any value of B ,the system of equation have at the least one possible solution

i can't see the picture : /

fa tha first one you gonna add y to both sides

it look like this

x-y+y=6+y

x=y+6

therefore your answer is

x =y+6

fa tha second one

you gonna flip tha equation

it gonna look like x-4y=y

then add 4 to both sides

it gonna look like tha

x-4 +4 =y +4

so therefore tha answer is x=y+4

step-by-step explanation: