M1 Matrix is: -5, 3
-8, 5
A) Find the value in the first row and first column of the product M^-1M using matrix multiplication. Select the correct expression below and fill in the answer box to complete your selection.
B) Find the value in the first row and second column of the product M^-1M using matrix multiplication. Select the correct expression below and fill in the answer box to complete your selection.
C) Find the value in the second row and first column of the product M^-1M using matrix multiplication
D) Find the value in the second row and second column of the product M^-1M using matrix multiplication

(a)First Row, First Column =1

(b)First Row, second Column =0

(c)Second Row, First Column =0

(d)Second Row, second Column =1

Step-by-step explanation:

Given matrix

The Inverse of a 2X2 matrix

can be found using the following:

Therefore:

Next, we find the product

Therefore:

(a)First Row, First Column =1

(b)First Row, second Column =0

(c)Second Row, First Column =0

(d)Second Row, second Column =1

NOTE: The multiplication of a matrix and its inverse always gives the identity matrix as seen above,

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: