Given the matrix
show thatis invertible. Then, using the, calculate the inverse and check that.
Find the values of the variables
Rewrite the following system of inequality, adding slack variables or subtracting surpluses
Write the solutions that can be read from the simplex tableau:
Solve the system of equations
by applying repeated elementary row operation to the augmented matrix until the coefficient matrix is reduced to an identity matrix.
show that. What general conclusion can be drawn from this example?
Find the inverse of the matrix
Expand by use of minors
What’s the value of the following determinant?
Prove that in any 3x3 determinant, if one row is 0, then the value of the determinant is zero.
If two rows are interchanged, what is true of the resulting determinant?
Use determinants to determine the number of solutions of the systems
Solve the following equation:
What is the communication matrix for the following network:
Sum the matrices
Calculate the determinants:
what are the dimensions?
Can these matrices be multiplied?
Find the product: