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In Exercises $3-6,$ find an explicit description of Nul $A$ by listing vectors that span the null space.$$A=\left[\begin{array}{rrrrr}{1} & {5} & {-4} & {-3} & {1} \\ {0} & {1} & {-2} & {1} & {0} \\ {0} & {0} & {0} & {0} & {0}\end{array}\right]$$

Not a vector space.

Calculus 3

Chapter 4

Vector Spaces

Section 2

Null Spaces, Column Spaces, and Linear Transformations

Vectors

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his problem with us to find the bacteria. That's fun. The no space. So we're giving this a Metrix, and I'll start the solution by being a single rule operation. Simon Sire Number one will be the origin. A little row one last five times Road to And that would be me and you Amy objects. And that will be 10 since native age. One 01 made it 210 and 00000 So we have five columns and imagine we have five variables because we're looking for a solution off for eggs is zero unless assume x factor to be explore next two eggs. Three. Explore an ex So let's go work this man juice. Um, using this extractor in a subtle being near you creations. So the pressure will give us explore plus six x three, minus eight x for plus expired zero and then the second room will give us X two when it's two x three. Plus explore is equal to zero so we can ride our music stuff X as x one x two x three Export expire and that will be, um, extreme NATO six two 100 plus it's for eight Negative. 1010 plus, like five, Um, negative 10 zero 00 So then director suspended Mills space will be negative. 6 to 100 Negative eight Made 21010 and Native 1000 zero.

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