LA Lecture 2

Question 1

In elimination, there is _____ solution to 0𝑦 = 8

Answer 1

no solution

Question 2

In elimination, there is ______ solution to 0𝑦 = 0

Answer 2

many solutions

Question 3

Normally 4 planes in 4-dimensional space meet at a ______.

Answer 3

point

Question 4

How many separate multiplications for Ax, when the matrix is 3 by 3?

Answer 4

9 separate multiplications

Question 5

A matrix with m rows and n columns multiplies a vector with ____ components to produce a vector with _________ components.

Answer 5

A matrix with m rows and n columns multiplies a vector with (n) components to produce a vector with (m) components.

Question 6

The planes from the m equations Ax=b are in ____-dimensional space. The combination of the columns of A is in _____-dimensional space.

Answer 6

The planes from the m equations Ax=b are in n-dimensional space. The combination of the columns of A is in m-dimensional space.

Question 7

How many rows are there when 2x+3y+z+5t = 8 is written as a matrix A multiplying the column vector x=(x,y,z,t) to produce b.

Answer 7

1 row