Find the inverse of the matrix .

Question

Find the inverse of the matrix  .

Quizplus · Accepted Answer

To find the inverse of a matrix, we need to use matrix algebra. However, since the given matrix is not in a recognizable form, we cannot directly apply the formula for inverse. Instead, we can use some properties of matrices to manipulate the given matrix into a form that we can work with. One such property is that the product of a matrix and its inverse is the identity matrix (a matrix with 1's on the diagonal and 0's everywhere else). 
Therefore, we can set up the equation 
11ebfdc1_ec57_6d6c_abe3_ef9247e6edb0_TBX8727_11 * X = I 
where X is the unknown inverse matrix and I is the 3x3 identity matrix. 
Solving for X, we get 
X = 11ebfdc1_ec57_947f_abe3_157e711822af_TBX8727_11 
Therefore, the answer is choice C.

Find the Inverse of the Matrix