math 79 linear algebra

mework Question 1, 1.3.1 HW Score: 0%, 0 of 25 points Save Part 1 of 2 O Points: 0 of 1 Compute u + v and u - 2v. u+ v= (Simplify your answer.)HW Score: 0%, 0 of 25 points Save Question 2, 1.3.5 mework O Points: 0 of 1 Write a system of equations that is equivalent to the given vector equation. 3 X1 + X? . 5 Choose the correct answer below. O B. 4x1 + 6X2 = -5 O A. 4x1 + 6X2 = 3 - 4X1 = 3 -4X1 + X2 = -5 8X1 - 9X2 = 6 8X1 - 9X2 = 6 OD. 4X1 + 6X2 = 3 O C. 4X1 + 6%2 = 6 - 4X1 = -5 - 4X1 = -5 8X1 - 9X2 = 6 8X1 - 9X2 = 3HW Score: 0%, 0 of 25 points Question 3, 1.3.6 Save mework O Points: 0 of 1 Write a system of equations that is equivalent to the given vector equation. Choose the correct answer below. OA. 2X1 + 7X2 + 2X3 = 0 OB. 2X1 + 7X2 + 2X3 = 0 2x1 + 4X2 = 0 2x 1 + 4X2 + X3 = 0 O C. 2x1 + 7X2 - 2X3 = 0 OD. 2X1 + 7X2 - 2X3 = 0 - 2x1 + 4X2 = 0 -2x1 + 4X2 + X3 = 0Question 4, 1.3.7 HW Score: 0%, 0 of 25 points Part 1 of 4 (Q Points: 0of 1 Use the accompanying figure to write each vector listed as a linear combination of u and v Vectorsw, X, y, and z Write w as a linear combination of u and v. w= u+ v (Type integers or decimals.) omework Question 5, 1.3.9 HW Score: 0%, 0 of 25 points Save O Points: 0 of 1 Write a vector equation that is equivalent to the given system of equations. X2 + 5X3 = 0 5X1 +7X2 - X3 = 0 -X1 + 6X2 - 7X3 =0 Choose the correct answer below. O A. O B. O C. OD. X1Question 6, 1.3.11 HW Score: 0%, 0 of 25 points Q Points: 00f 1 Determine if b is a linear combination of a;, a,, and a; 1 0 6 4 a;=| -3 [a=|1 | a3=| -8 [ b=| -1 0 2 24 22 Choose the correct answer below. (O A. Vector b is not a linear combination of a;, &, and a4 () B. Vector b is a linear combination of a4, a5, and a;. The pivets 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. (O C. Vector b is a linear combination of a4, a5, and a;. The pivets in the corresponding echelon matrix are in the first entry in the first column and the second entry in the second column. (O D. Vector bis a linear combination of a4, a5, and a;. The pivets 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. Question 7, 1.3.13 HW Score: 0%, 0 of 25 points QO Points: 0 of 1 Determine if b is a linear combination of the vectors formed from the columns of the matrix A. 1 -4 2 4 A=| 0 5 2 |b=| -7 -4 16 -8 -4 Choose the correct answer below. () A. Vector b is a linear combination of the vectors formed from the columns of the matrix A. 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. () B. Vector b is not a linear combination of the vectors formed from the columns of the matrix A. () C. Vector b is a linear combination of the vectors formed from the columns of the matrix A The pivots in the corresponding echelon matrix are in the first entry in the first column and the third entry in the second column, and the third entry in the third column () D. Vector b is a linear combination of the vectors formed from the columns of the matrix A. 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. HW Score: 0%, 0 of 25 points Q Points: 0 of 1 Question 8, 1.3.14 Determine if b is a linear combination of the vectors formed from the columns of the matrix A. 1 -6 -3 12 A=| 0 5 7|b=| -5 4 -24 N T Choose the correct answer below. () A. Vector h is a linear combination of the vectors formed from the columns of the matrix A. 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. () B. Vector b is a linear combination of the vectars formed from the columns of the matrix A The pivots in the corresponding echelon matrix are in the first entry in the first column and the second entry in the second column. There are ne pivots in the third and fourth columns O C. Vector b is not a linear combination of the vectors formed from the columns of the matrix A There is no solution to the linear system corresponding to the matrix [ A b J () D. Vector b is not a linear combination of the vectors formed from the columns of the matrix A The pivots in the corresponding echelon matrix are only in the first entry in the first column and the second entry in the second column. There are no pivots in the third and fourth columns omework Question 9, 1.3.15 HW Score: 0%, 0 of 25 points O Save O Points: 0 of 1 List five vectors in Span {V1, V2} . Do not make a sketch. 6 V 1 List five vectors in Span {V1, V2}- (Use the matrix template in the math palette. Use a comma to separate vectors as needed. Type an integer or a simplified fraction for each vector element. Type each answer only once.)mework