Linear Algebra

Topic: Computer Algebra Systems 631 Use the computer to solve the two problems that opened this chapter.(a) This is the Statics problem.(b) This is the Chemistry problem.40h + 15c = 10025c = 50 + 50h7h = 7j8h + 1i = 5j + 2k1i = 3j3i = 6j + 1k2 Use the computer to solve these systems from the first subsection, or conclude‘many solutions’ or ‘no solutions’.(a) 2x + 2y = 5x − 4y = 0(b) −x + y = 1x + y = 2(c) x − 3y + z = 1x + y + 2z = 14(d) −x − y = 1 (e) 4y + z = 20 (f) 2x + z + w = 5−3x − 3y = 2 2x − 2y + z = 0y − w = −1x + z = 5 3x − z − w = 0x + y − z = 10 4x + y + 2z + w = 93 Use the computer to solve these systems from the second subsection.(a) 3x + 6y = 18 (b) x + y = 1 (c) x 1 + x 3 = 4x + 2y = 6 x − y = −1 x 1 − x 2 + 2x 3 = 54x 1 − x 2 + 5x 3 = 17(d) 2a + b − c = 2 (e) x + 2y − z = 3 (f) x + z + w = 42a + c = 3 2x + y + w = 4 2x + y − w = 2a − b = 0 x − y + z + w = 1 3x + y + z = 74 What does the computer give for the solution of the general 2×2 system?ax + cy = pbx + dy = q