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How do you rotate figure 360 degrees using matrix?
Multiply it by the identity matrix.
How do you find the value of an angle?
You could measure it using a protractor, derive it from basic geometric properties (for example angles of a regular polygon), or calculate it using trigonometry.
How do you calculate complex number using matrix?
A complex number a + bi, can be represented as a 2x2 matrix: [a -b] [b a ] or [a b ] [-b a ] , just keep the same notation throughout your work. See the wikipedia article on Complex Numbers, and the related link for some more information.
How do find matrix inverse of 4cross 4matrix?
Next to your 4x4 matrix, place the 4x4 identity matrix on the right and adjoined to the one you want to invert. Now you can use row operations and change your original matrix on the left to a 4x4 identity matrix. Each time you do a row operation, make sure you do the same thing to the rows of the original identity matrix. You end up with the identity now on the left and the inverse on the right. You can also calculate the inverse using the adjoint. The adjoint matrix is computed by taking the transpose of a matrix where each element is cofactor of the corresponding element in the original matrix. You find the cofactor t of the matrix created by taking the original matrix and removing the row and column for the element you are calculating the cofactor of. The signs of the cofactors alternate, just as when computing the determinant
What are the advantages of Identity matrix?
If the product of two matrices is an identity matrix then, one matrix is inverse of the other. i.e. AB = I then, A = B-1 and B = A-1Inverse of matrix can be found by using these two results:A = AI and A = IA.By using these results inverse of a matrix can be found by applying same elementary row or column operation on both sides. A on R.H.S. remains as it is.
