Let A be the matrix: A = -3 -3 15 2 1 -12 3 -2 -25...

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Let A be the matrix: A = -3 -3 15 2 1 -12 3 -2 -25 Determine a condition for when a vector bis in C(A). That is, find an euation that is satisfied by b₁,b2, and be exactly when bis in C(A). Give your answer as an equation expressing by in terms of b₁ and b2, e.g., b3 = 2b₁3b2. Use b1,b2, and b3 to represent the entries b₁,b2, and b3 of b. b3 (Hint: Set up a system where the righthand side consists of the unknown values b₁,b2, and b3. Use elimination until you reach an upper triangular matrix on the left. This should have one row with O's on the left and an expression involving b₁,b2, and be on the right. This expression needs to equal 0 in order for the system to have a solution.) Let A be the matrix: A = -3 -3 15 2 1 -12 3 -2 -25 Determine a condition for when a vector bis in C(A). That is, find an euation that is satisfied by b₁,b2, and be exactly when bis in C(A). Give your answer as an equation expressing by in terms of b₁ and b2, e.g., b3 = 2b₁3b2. Use b1,b2, and b3 to represent the entries b₁,b2, and b3 of b. b3 (Hint: Set up a system where the righthand side consists of the unknown values b₁,b2, and b3. Use elimination until you reach an upper triangular matrix on the left. This should have one row with O's on the left and an expression involving b₁,b2, and be on the right. This expression needs to equal 0 in order for the system to have a solution.)

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3 3 1 RRR 15 12 25 31 b 2 b2 R... View the full answer