Determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text. 1. Adding a multiple of one column of a square matrix to another column changes only the sign of the determinant.

a. False, adding a multiple of one column to another does not change the value of the determinant.
b. False, adding a multiple of one column to another changes the sign of the determinant.
c. True, adding a multiple of one column to another changes only the sign of the determinant.
d. False, adding a multiple of one column to another changes the value of the determinant by the multiple of the minor.

2. Two matrices are column-equivalent when one matrix can be obtained by performing elementary column operations on the other.

a. False, row-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.
b. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary row operations on the other.
c. False, row-equivalent matrices are matrices that can be obtained from each other by performing elementary row operations on the other.
d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.

1) a. False, adding a multiple of one column to another does not change the value of the determinant.

2) d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.

Step-by-step explanation:

1) If the multiple of one column of a matrix A is added to another to form matrix B then we get: |A| = |B|. Here, the value of the determinant does not change. The correct option is A

a. False, adding a multiple of one column to another does not change the value of the determinant.

2) Two matrices can be column-equivalent when one matrix is changed to the other using a sequence of elementary column operations. Correc option is d.

d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.