Solving Matrix Equations Answers

X =

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Given: B = 7 −3 5 −1 C = 1 −1 13 −5 Solve the equation: 2X + B = C X = ⇒ -3

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X =

What is the solution to this matrix equation:AX = C

Add B to both sides.✔ Add the opposite of B to both sides.Divide both sides by A.Multiply both sides by the inverse of A.

X =

x1 = x2 =

x1 = x2 = x3 =

Each point where vertical cables are attached to the spanning cable of a bridge has forces pulling in three directions. This situation can be modeled in terms of the unknown forces with the matrix equation below. Solve this equation for F, and round answers to three decimal points. AF = C .866 .707 .5 .537 1 1.732 .5 7 .5 f1 f2 f3 1.8 3.8 7.5 f1 = , f2 = , f3 =

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Add B to both sides.Add the opposite of B to both sides.Divide both sides by A.✔ Multiply both sides by the inverse of A.

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