F1.3 Question 10 on paper please 38 CHAPTER 1 Systems of Linear Equations and Matrices10. a. Express each column vector of AB as a linear combinationof the column vectors of A.2b. Express each column vector of BA as a linear combinationof the column vectors of B.In each part of Exercises 11-12, find matrices A, x, and b that expressthe given linear system as a single matrix equation Ax = b, andwrite out this matrix equation.11. a. 2x₁ - 3x₂ + 5x3 =79x₁ - x₂ + x3 = -1x₁ + 5x₂ + 4x3 =0- 3x3 +x4 = 15x₁ + x₂−8x = 32x₁5x2 + 9x3 - X4 = 03x₂x3 + 7x4 = 212. a. x₁ - 2x₂ + 3x3 = -32x₁ + x₂b. 3x₁ + 3x₂ + 3x3 = -3-X₁ - 5x₂ - 2x3 =0- 3x₂ + 4x3 =- 4x₂ + x3 =0X1+ x3 =In each part of Exercises 13-14, express the matrix equation as a sys-tem of linear equations.5 613. a.H-238-84¹][x] [²]b. 4x1-101 6. a.- E)Ab. (4B)C + 2Bc. (-AC)T + 5DTd. (BAT - 2C)Te. BT(CCT-ATA)f. DTET - (ED)In Exercises 7-8, use the following matrices and either the rowmethod or the column method, as appropriate, to find the indicatedrow or column.d[3-276-24A = 654and B =0130497757.a. the first row of ABb. the third row of ABc. the second column of AB d. the first column of BAe. the third row of AAf. the third column of AAa. the first column of ABb. the third column of BBc. the second row of BBd. the first column of AAe. the third column of ABf. the first row of BAIn Exercises 9-10, use matrices A and B from Exercises 7-8.9. a. Express each column vector of AA as a linear combinationof the column vectors of A.b. Express each column vector of BB as a linear combinationof the column vectors of B.8.

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F1.3    Question 10 on paper please 38 CHAPTER 1 Systems of Linear Equations and Matrices10. a. Express each column vector of AB as a linear combinationof the column vectors of A.2b. Express each column vector of BA as a linear combinationof the column vectors of B.In each part of Exercises 11-12, find matrices A, x, and b that expressthe given linear system as a single matrix equation Ax = b, andwrite out this matrix equation.11. a. 2x₁ - 3x₂ + 5x3 =79x₁ - x₂ + x3 = -1x₁ + 5x₂ + 4x3 =0- 3x3 +x4 = 15x₁ + x₂−8x = 32x₁5x2 + 9x3 - X4 = 03x₂x3 + 7x4 = 212. a. x₁ - 2x₂ + 3x3 = -32x₁ + x₂b. 3x₁ + 3x₂ + 3x3 = -3-X₁ - 5x₂ - 2x3 =0- 3x₂ + 4x3 =- 4x₂ + x3 =0X1+ x3 =In each part of Exercises 13-14, express the matrix equation as a sys-tem of linear equations.5 613. a.H-238-84¹][x] [²]b. 4x1-101 6. a.- E)Ab. (4B)C + 2Bc. (-AC)T + 5DTd. (BAT - 2C)Te. BT(CCT-ATA)f. DTET - (ED)In Exercises 7-8, use the following matrices and either the rowmethod or the column method, as appropriate, to find the indicatedrow or column.d[3-276-24A = 654and B =0130497757.a. the first row of ABb. the third row of ABc. the second column of AB d. the first column of BAe. the third row of AAf. the third column of AAa. the first column of ABb. the third column of BBc. the second row of BBd. the first column of AAe. the third column of ABf. the first row of BAIn Exercises 9-10, use matrices A and B from Exercises 7-8.9. a. Express each column vector of AA as a linear combinationof the column vectors of A.b. Express each column vector of BB as a linear combinationof the column vectors of B.8.

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10. a. Express each column vector of AB as a linear combination of the column vectors of A. b. Express each column vector of BA as a linear combination of the column vectors of B.