Question

Two Pictures of Linear Equations 8 Normally 4 "planes" in 4-dimensional space meet at a Norma vectors in 4-dimensional space can combine to produce b. What combi of (1.0, 0, 0), (1,1,0,0), (1,1,1,0), (1,1,1,1) produces b= (3.3.3.2)? Problems 9-14 are about multiplying matrices and vectors. 9 Compute each Ar by dot products of the rows with the column vector: 1 2 412 (a) 2 32 to 0 012JL2 Compute each Ax in Problem 9 as a combination of the columns: 10 4 9(a) becomes Ax-2 |-2 | + 2 | 3 | + 3 | How many separate multiplications for Ax, when the matrix is "3 by 3"2 11 Find the two components of Ar by rows or by columns: 3 6 2 6 12 2 3104 2 0 1 12 Multiply A times r to find three components of Ar: 0 1 0yand1 2 3 and1 2 c -dimensional 13 (a) A matrix with m rows and n columns multiplies a vector with nents to produce a vector withcomponents. ons 4 r = b are in

Answer 1

inal answer:

To find the combination of given vectors that produces a specific vector, we can solve a system of equations using matrix algebra.

Step-by-step explanation:

The question is a bit unclear, but based on the given information, it seems like we are trying to find a combination of the given vectors (1,0,0), (1,1,0,0), (1,1,1,0), and (1,1,1,1) that produces the vector b = (3,3,3,2). To find the combination, we need to solve a system of equations where the coefficients are the given vectors:

x(1,0,0) + y(1,1,0,0) + z(1,1,1,0) + w(1,1,1,1) = (3,3,3,2)

We can solve this system of equations using matrix algebra. First, we can express the given vectors as columns in a matrix:

A = [1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]

Then, we can express the vector b as a column vector:

b = [3; 3; 3; 2]

Finally, we can solve the equation Ax = b to find the combination of vectors that produces b.