Step by step video & image solution for Find the inverse of the matrix: [[1,2,3],[2,4,5],[3,5,6]]. Hence solve the equations x+2y+3z = 2, 2x+4y+5z = 1, 3x+5y+6z = 3. by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams.Updated on:21...
The cofactor matrix is: C=⎛⎜⎝4−1517−11136−3⎞⎟⎠ Step 3: Find the Adjoint of A The adjoint of A is the transpose of the cofactor matrix: adj(A)=CT=⎛⎜⎝4173−1−11651−3⎞⎟⎠ Step 4: Calculate the Inverse of A The inverse of A is given by...
When this happens, the right side of the augmented matrix, previously occupied by the identity matrix, is now occupied by the inverse matrix to the original one. The possible operations to be applied to the line are: swap two lines of position multiply a line by a non-zero real ...
One way to find the inverse of a matrix is to create a new matrix that is twice as wide. The left half of the matrix is the original matrix, where the right half is the identity matrix. After conducting row operations to find the row reduced e...
Inverse matrix can be calculated using different methods. Learn what is inverse matrix, how to find the inverse matrix for 2x2 and 3x3 matrices along with the steps and solved examples here at BYJU'S.
We consider the exponential matrix e^A=I+A+A^2/(2!)+A^2/(3!)+A^m/(m!). We need to find the inverse matrix of e^A. Using the property that if A and B commute, then exp(A+B)=exp(A)exp(B), we can find the inverse by setting B = -A and solving for exp(-A). ...
Find the inverse of the function: y = 5^x - 9 Explain the steps to find the inverse of a function. Determine the inverse of f(x) = {(0,1), (2,1), (3,1)}. Will the inverse be a function? Find the inverse of f(x) = 3x- 4 . What is a function's inverse? How can ...
Find the inverse of the matrix A=[1−13212−2−21] Step 1: Find det(A). According to our determinant formula for a 3×3 matrix: det(A)=1⋅|12−21|+1⋅|22−21|+3⋅|21−2−2|=1(1+4)+1(2+4)+3(−4+2)=1(5)+1(6)+3(−2)=5+6−6=5. Since ...
In summary, the conversation is about finding the inverse of a given matrix A mod 26. The person is confused about the Euclidean algorithm and how to proceed with finding the inverse. Another person suggests using modulo 26 arithmetic to solve for the inverse and provides an example. The...
Steps involved in the Example Begin function INV() to get the inverse of the matrix: Call function DET(). Call function ADJ(). Find the inverse of the matrix using the formula; Inverse(matrix) = ADJ(matrix) / DET(matrix) End.