Matrices (16 problems)

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Problem #1: Applications

Rewrite the following system of inequality, adding slack variables or subtracting surpluses

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Problem #2: Applications

Write the solutions that can be read from the simplex tableau:

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Problem #3: Applications

Find the values of the variables

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Problem #4: Inverse of a Matrix

Given

show that. What general conclusion can be drawn from this example?

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Problem #5: Inverse of a Matrix

Find the inverse of the matrix

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Problem #6: Linear Algebra~Matrices~Applications~ID194

Solve the following equation:

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Problem #7: Linear Algebra~Matrices~Inverse of a Matrix~ID190

Find the inverse of the matrix

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Problem #8: Linear Algebra~Matrices~Operation with Matrices

What is the communication matrix for the following network:

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Problem #9: Linear Algebra~Matrices~Operation with Matrices

Sum the matrices

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Problem #10: Linear Algebra~Matrices~Operation with Matrices

Calculate the determinants:

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Problem #11: Linear Algebra~Matrices~Operation with Matrices

Given the matrix

what are the dimensions?

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Problem #12: Linear Algebra~Matrices~Operation with Matrices

Can these matrices be multiplied?

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Problem #13: Linear Algebra~Matrices~Operation with Matrices

Find the product:

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Problem #14: Operation with Matrices - Sum, Substraction and Multiplication

Find the product

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Problem #15: Symmetric Matrices

Solve the following

(a) Prove that ifismatrix, thenis symmetric.

(b) Prove that ifandaresymmetric matrices, thenis symmetric if and only if.

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Problem #16: Transpose of a Matrix

Find the transpose of the following matrix:

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