MTH643 Quiz 2

Q1. If we use [P, D] = eig(B), P determines ______ and D determines _________.

1. eigen vectors, eigen values
2. eigen values, eigen vectors
3. square matrix, rectangular matrix
4. rectangular matrix, square matrix

Correct answer: eigen vectors, eigen values

Q2. To solve the system of equations 2x+3y=4, 3x-4y=8, we will write _________________ into MATLAB.

1. rref([2 3 4; 3 -4 8])
2. A=[2 3; 3 -4]; b=[4; 8]; Ab=[A b]; rref(Ab)
3. b=[4; 8]; Ab=[[2 3; 3 -4] b]; rref(Ab)
4. All of these

Correct answer: All of these

Q3. The ________ command calculates the eigen value of a ________ matrix.

1. value, rectangular
2. eig, square
3. eig, rectangular
4. eigen, square

Correct answer: eig, square

Q4. What MATLAB function is used to find the inverse of a matrix?

1. eye()
2. eig()
3. inv()
4. inverse()

Correct answer: inv()

Q5. _________ command calculates the eigen value of the square matrix M.

1. sym(M)
2. eig(M)
3. inv(M)
4. none of these

Correct answer: eig(M)

Q6. What MATLAB function is used to find the determinant of a matrix?

1. determinant()
2. trace()
3. det()
4. rank()

Correct answer: det()

Q7. _________ command calculates the inverse of the matrix A.

1. sym(A)
2. inv(A)
3. eig(A)
4. none of these

Correct answer: inv(A)

Q8. To calculate the reduced echelon form of a matrix E=[0 1 3 4; 2 4 1 5; 6 1 8 6], we will write __________ in MATLAB.

1. eig(E)
2. rref(E)
3. eig
4. rref

Correct answer: rref(E)

Q9. To enter system of equations 2x+3y=4, 3x-4y=8 into MATLAB as an (augmented) matrix we will write

1. A=[2 3; 3 -4]; b=[4; 8]; Ab=[A b]
2. b=[4; 8]; Ab=[[2 3; 3 -4] b]
3. Ab=[2 3 4; 3 -4 8]
4. All of these

Correct answer: All of these

Q10. Using MATLAB, solution of system of linear equations is obtained by _____________ command .

1. solve
2. sym
3. eig
4. inv

Correct answer: solve