Perform the indicated operations given the matrices.
-Let C = and D = ; C - 3D

Question

Perform the indicated operations given the matrices.
-Let C =  and D =  ; C - 3D

Quizplus · Accepted Answer

To subtract two matrices, we subtract corresponding entries. For C-3D, we first need to multiply D by 3, which gives:
3D = 35d72a83_94ce_16f5_7072_7bc3b31df285_TB8591_11
Then we subtract corresponding entries of C and 3D:
C - 3D = 11ebb17b_29fc_5b3a_afdc_af8745fd4c00_TB8591_11 - 35d72a83_94ce_16f5_7072_7bc3b31df285_TB8591_11
= 11ebb17b_29fc_5b3d_afdc_3fa1cb7bc457_TB8591_11
Therefore, the answer is B. To subtract matrices, we need to subtract corresponding elements of the matrices. In this case, we have:

C - 3D = 
11ebb17b_29fc_5b3a_afdc_af8745fd4c00_TB8591_11 - 3(11ebb17b_29fc_5b3b_afdc_2df13ba74ea6_TB8591_11)

= 11ebb17b_29fc_5b3a_afdc_af8745fd4c00_TB8591_11 - 35ebb17b_29fc_5b3b_afdc_2df13ba74ea6_TB8591_11

= 11ebb17b_29fc_5b3d_afdc_3fa1cb7bc457_TB8591_11

Thus, the correct choice is B.

Perform the Indicated Operations Given the Matrices