6 -1 -2 -3 0 2 0 1-2 nations of the columns of A. . W is the • Is b € W? . In one line (with minimal computation), show that the first column of A is in W. Let A and b = 3. Let W be the set of all linear combi- of the columns of A. (One word answer.)

Q: 1 Find a matrix P that satisfies P 1 9 1 2 0 3 0 900 23 1 7 1 1

A: We have to find the matrix P that satisfies the given equation.

Q: The columns of -3 -3-4 -2 A = = [ are linearly dependent in R.². -5 -1 1

A:

Q: Let A = 10-2 1 026 and b = 4 Denote the columns of A by a₁, a2, a3, and let -6 4 4 -6 W = Span {a1,…

A: Step 1: Step 2: Step 3: Step 4:

Q: 1-4 -4 3 and b₂ be column 2 of B. If A= b₁ = b₂ 5 and AB = 0.69230769 - 1.07692308 - 19 -5 6 11 -6 7…

A: and .We have to find first column and second column of matrix .

Q: Determine if the columns of the matrix form a linearly independent set. 1 3-3 9 27-3 6 3 12 2-17…

A: The given matrix .We have to determine the columns of the matrix are linearly independent or not.

Q: Given that 9 write -18 as a linear combination of the vectors 9 -18 = -11 H 0 -2 −1 -000 + −1 2 1 9…

A: We have to write

Q: Is {(3, 4)}Linear combination of {(1, 2), (2, 4)} show all the work and state why or why not.

A:

Q: 10 - 2 7 Let A = 0 3 3 and b = 3 Denote the columns of A by a,, a2, ag, and let W = Span (a,, a2,…

A:

Q: Find the bases of the rowspace and columnspace of the matrix . What is the rank of x? x=(1, -3, 4,…

A: Given: x=1-34-22-69-12-69-1

Q: Q24A. Identify the number of rows in matrix A. A = 8 -10 9 4 6 3 -3 -1 7 3 8 -2

A:

Q: Determine if the columns of the matrix form a linearly independent set. 1 3 -3 6 3 10 -7 12 28 0-6…

A: Given: A=13-36310-712280-6 We have to determine the column of the matrix form a linearly independent…

Q: Please solve and show all steps.

A: Ans:

Q: 5 and B = -3 4 3 Compute AB if A = |-4 -2 -1 1 1 -6

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: 1 -4 Let A 3 -2 and 6 Denote the columns of A by a1, å2, āz , and let W = Span{ă1, ã2, ã3} . -2 6 3…

A: given A=10-403-2-263  , b→=41-4 (a) is b→ in a1→,a2→,a3→?how many vectors are in a1→,a2→,a3→ let…

Q: Let p and q be nonnegative integers and let A be a square matrix. Show that Ap Aq = Ap+q and (Ap ) q…

A: We have, p and q be non-negative integers and let A be a square matrix. Consider ApAq. Since p and q…