Current Attempt in Progress Express the matrix and its inverse as products of elementary matrices. 10-5 A = 80 00 7 1 The matrix A can be written as: 105 1 010 01 0 001 0 -7 1 001 105 100 100 010 001 00 0010 0 1 0 10 017 S- 0 11 0 00 01 0 00 1 01-7 080 I 001 001 080 01 501 0 0 100 1 00 100 1 0 0 08-0 010 017 501 001 0 0 1 100 08-0 100 11 001 017 080 001 The matrix A can be written as: 105 017 010 001 001 001 100 100 1 00 080 010 01 0 001 01 1 0 A = 0 + A- A-I F-V 080= 11 100 = 1-V 00 10 0 0 1 0 001. 0 100 0 -1 001 0 10 010 0 071 0 10 10 01-7 010 00 0 1 0 10 0 00 01 00 1 00 1. fo 1 10 00 001 0 5.01 Current Attempt in Progress Solve the linear systems together by reducing the appropriate augmented matrix. x - 5x = b 3x - 14x=b (a) b = 5, b = 20 (b) b = -6, b = 21 (a) x == (b) X = i x = Current Attempt in Progress Determine conditions on the b;'s, if any, in order to guarantee that the linear system is consistent. X1 - 4x2 - x3 = -4x + 20x2 + 6x3 = -3x1 + 11x2 + 3x3 The system is 11 = b b b3 for of b,b2, and b3. Current Attempt in Progress Find all values of a, b, and c for which A is symmetric. -9 a 2b + 2c 2a + b + c -2 -5 a + c 3 -2 7 a= A = b= i Use the symbol tas a parameter if needed. Current Attempt in Progress Solve the following system by Gauss-Jordan elimination. 2x17x2 + 25x3 = 19 4x115x2 + 54x3 = 40 NOTE: Give the exact answer, using fractions if necessary. Assign the free variable as the arbitrary value t. x1 = 11 x3 = t