(b) A= np.array([[1,2],[3,4],[10,6]]) (c) A= np.array([[1,2,3],[3,4,5],[4,10,6]]) What is the vector for b, and c

Q: A= 5 BE 3 6 -8 0 4 12 4 C = -2 5 10 6 9

A: Given A = -1532B = 364-8012C = 410-2659

Q: [2 -1 1] A = |1 1 2,x = |y| and b = |b2 [-1 5 4] a. Determine if the columns of the matrix A span…

A: We have to determine  whether the column of matrix A can span R^3

Q: (Section 5.3) i. Show that the vectors v₁ = (1, 2, 3, 4), №₂ = (0, 1, 0, −1), and v3 = (1,3,3,3)…

A:

Q: V1 [³] Given a₁ = -4 and a2 V2 || = 5, what vector is formed by the linear combination a₁ V₁ + a2V₂?

A: Here we have to find the linear combination a1v→1+a2v→2 for the given the vectors v→1 and v→2.

Q: 1 -3 -9 2 4 If A = and AB = determine the first and second columns of B. Let b, be column 1 of B and…

A:

Q: Determine the order of the matrix. 2 5 -4-4 6 1A) 3 × 2 B) 2 × 3 C) 6 D) 3

A:

Q: Orthogonally diagonalize A Tu 4 4 0 0 9

A:

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: 5. Determine if each set is linearly independent. If the set is linearly dependent, give an example…

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: R={(1,-3),(1,-2),(1,-1),(1,0),(1,1),(1,2),(1,3)} S={(-3,1),(-2,1),(-1,1),(0,1),(1,1),(2,1),(3,1)} 1)…

A:

Q: The given set of vectors are the encoded version of a short message. Decode the message, given that…

A:

Q: a) Consider the matrices A and B: 4 -3 A =-2 7 1 8 6. -5 B = -3 -2 Which element is in row 2, column…

A:

Q: 9.2 If possible, find two vectors ū and v so that (a) a and c are non-negative linear combinations…

A:

Q: a. Express each column vector of AB as a linear combination of the column vectors of A. b. Express…

A: a. To express each column vector of AB as a linear combination of the column vectors of A, we can…

Q: If A= 1-3 -3 and AB= 15 14 -8 4 - 13 determine the first and second columns of B. Let b₁ be column 1…

A: The multiplication of two matrices A and B is defined only when the number of columns in A and the…

Q: 15. Which matrix is not in row-echelon form? : 1-3 2 C) A) 0 1 -6 o ;o o° 1 -2| 2 [1 2 0 1 -2 B) D)

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.