SOLUTION: Let H and E be 2 × 2 matrices. Let [ 4 3 ] and [ 2 0 ] be the first and second rows of A, respectively; [ 3 6 ] and [ 2 3 ] be the first and second rows of B, respectively. If D =

Algebra.Com
Question 156048: Let H and E be 2 × 2 matrices. Let [ 4 3 ] and [ 2 0 ] be the first and second rows of A, respectively; [ 3 6 ] and [ 2 3 ] be the first and second rows of B, respectively. If D = H + E, then the d 11 element of D -1 is =
a. 2/9
b. 0
c. It does not exist
d. You cannot find the inverse of a matrix

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
You mention A and B but assume you mean H and E??
.
.
.



.
.
.
The inverse of a 2x2 matrix, A,

is given by

where

.
.
.
In this case,


The [11] element would be
That's not a given choice.
Please check the problem setup and re-post the question.

RELATED QUESTIONS

Let A and B be 2 × 2 matrices. Let [ 2 3 ] and [ -4 5 ] be the first and second rows of... (answered by oscargut)
Let A and B be 2 × 2 matrices. Let [ 2 3 ] and [ -4 5 ] be the first and second rows of... (answered by Fombitz)
This is the second part of my first question: (I put multiple periods in between the... (answered by Edwin McCravy)
Ok, so I am given 4 matrices and 2 operations to perform (if possible). I don't think... (answered by Edwin McCravy)
Suppose that two dice are tossed. For each die, it is equally likely that 1, 2, 3, 4, 5,... (answered by ikleyn)
Let a_1, a_2, a_3, ... be an arithmetic sequence. Let S_n denote the sum of the first n... (answered by greenestamps,Edwin McCravy)
Let P and R be the following matrices: P projects vectors onto (2; 3). R reflects... (answered by kately)
Let D and E be the following matrices: I don't know how to format matrices on here, so (answered by ikleyn,kately,math_tutor2020)
Let A, B, C be the points (2, 3), (3, -2) and (-1, 4). Find the length of... (answered by Fombitz)