Self-test Questions


1	A vector can be added to a matrix.

		A)	TRUE
		B)	FALSE

2	If A = and B = then A + B is

		A)
		B)
		C)
		D)
		E)	Cannot be done.

3	Matrix subtraction is

		A)	commutative
		B)	not commutative
		C)	commutative as with matrix addition
		D)	not commutative as with scalar subtraction
		E)	B and D

4	If c is a vector where c = (3 8 3 6 5) then is

		A)
		B)
		C)
		D)	A and B.
		E)	None of the above.

5	Vector and matrix multiplication is not commutative, i.e. AB ≠ BA.

		A)	TRUE
		B)	FALSE

6	Matrix B is ________ by matrix A when AB is calculated.

		A)	pre-multiplied
		B)	post-multiplied
		C)	pre-divided
		D)	post-divided
		E)	None of the above.

7	If the product of two matrices AB exists then the product BA must also exist.

		A)	TRUE
		B)	FALSE

8	If A = (7 5) and B = then AB is

		A)	(38 67)
		B)
		C)
		D)
		E)	None of the above.

9	When two matrices A and B are multiplied together then the resulting matrix, AB, has the same number of rows as A and the same number of columns as B.

		A)	TRUE
		B)	FALSE

10	For any matrix requires that A has:

		A)	the same number of rows and columns, i.e. a square matrix.
		B)	vector dimensions.
		C)	more rows than columns.
		D)	more columns than rows.
		E)	None of the above.

11	An identity matrix of order 3 is:

		A)	(0 0 0)
		B)	(1 1 1)
		C)
		D)
		E)

12	For a matrix to have an inverse, it must be square.

		A)	TRUE
		B)	FALSE

13	The determinant of a matrix is important in the solving of a system of simultaneous equations because:

		A)	the determinant gives the coefficients of the variables.
		B)	if the determinant is zero, then the system of equations is solvable.
		C)	if the determinant is zero then the inverse of the matrix can be found.
		D)	the co-factors are zero.
		E)	None of the above.

14	The co-factors of matrix A given by is

		A)
		B)
		C)
		D)
		E)	None of the above.

15	To solve a system of equations using the method of matrix inversion you need:

		A)	to find the value of the determinant.
		B)	to check that the matrix of coefficients is square.
		C)	to find the matrix of co-factors.
		D)	to find the transpose of the co-factor matrix.
		E)	All of the above.

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