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

f1: 0.440, f2: 0.931, f3: 1.519

Step-by-step explanation:

To solve the system of equations we need to use the inverse of matrix A, as follows:

A x F = C

A^-1 x A x F = A^-1 x C

I x F = A^-1 x C

where I is the identity matrix.

The inverse of A is:

          1.450-0.392-0.090

A^-1 = -0.074-0.0220.1536

         -0.4060.7122-0.060

(computed with Excel)

The multiplication between the inverse of A and C gives:

                0.440

A^-1 x C = 0.931

                1.519

(computed with Excel)

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