Determine if b is a linear combination of a,, a,, and az. 6 a, = az = az b= -3 3 18 9 Choose the correct answer below. O A. Vector b is a linear combination of a,, a, and ag. The pivots in the corresponding echelon matrix are in the first entry in the first column and the second entry in the second column. O B. Vector b is a linear combination of a,, a, and az. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the fourth column. OC. Vector b is a linear combination of a,, a,, and ag. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the third column. O D. Vector b is not a linear combination of a,, a,, and ag.

Q: Determine whether the matrix is in echelon form, reduced echelon form, or neither. 1 4 5 -7 4 1 -4 7…

A:

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: Let u1,u2,…,un be a set of vectors in the vector space V and v be any vector in V. The vector v can…

Q: Determine whether the matrix is in echelon form, reduced echelon form, or neither. 1 4 5 -7* 5 1 -4…

A: To determine whether the given matrix is in row echelon form , reduced echelon form or neither we…

Q: Determine if b is a linear combination of a₁, a2, and a3. 5 -4, b: 44 11 1 0 -3a₂5 1 0 4 a 2 -3 12

A:

Q: Determine if the columns of the matrix form a linearly independent set. Justify your answer. 3 4 4…

A: Given matrix:We need to determine that columns of the matrix form a linearly independent set or not

Q: Determine if the columns of the matrix form a linearly independent set. Justify your answer. 0 - 8…

A:

Q: Row reduce the matrix to reduced echelon form. Identify the pivot positions in the final matrix and…

A:

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: Maxima program used to solve:

Q: For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A. A= 3. -2 3 2…

A: Nul(A) contains all those vectors such that   Ax= 0 and Col(A) is spanned by column of the matrix A.

Q: Determine if b is a linear combination of the vectors formed from the columns of the matrix A.…

A:

Q: = [₁ Construct a 2 x 2 matrix B such that - AB is the zero matrix. Use two different nonzero columns…

A: The given matrix .To construct a matrix such that is the zero matrix.

Q: Determine if the columns of the matrix form a linearly independent set. Justify your answer. 1 -3 3…

A: Option (A) is correct.

Q: Determine if the columns of the matrix form a linearly independent set. 1 4 -3 0 -2 -7 5 1 -4 -5 7 5…

A:

Q: Determine which columns of the following matrix are pivot columns. -2 -3 4 -4 2 6 -6 -2 0 -2 2 -2 2…

A:

Q: Determine if b is a linear combination of a,, a2, and ag- 6 a, = -2 a2 = 1 az = -5 b= -2 3 21 18…

A: Option B is correct.

Q: Which matrix does not have an inverse? OA 3 O B. 6 oc O D. [ -49 C. O C. 8 4 OD. -6-4 3

A:

Q: Determine if b is a linear combination of a₁, a₂, and a3. BHAHAHAH Choose the correct answer below.…

A:

Q: Determine if b is a linear combination of the vectors formed from the columns of the matrix A. A=…

A:

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: