Consider A be the symmetric matrix and the determinant is indicated as \(\text{det A or}\ |A|\). Here, it relates to the determinant of matrix A. After some linear transform specified by the matrix, the determinant of the symmetric matrix is determined. Eigenvalues of a Symmetric Matrix. The eigenvalue of the real symmetric matrix should be a For a 4x4 determinant I would probably use the method of minors: the 3x3 subdeterminants have a convenient(ish) mnemonic as a sum of products of diagonals and broken diagonals, with all the diagonals in one direction positive and all the diagonals in the other direction negative; this lets you compute the determinant of e.g. the bottom-right 3x3 as 71*73*38 + 78*32*50 + 34*69*65 - 34*73*50 Find the determinant of f using det. The result is a symbolic matrix function of type symfunmatrix that accepts scalars, vectors, and matrices as its input arguments. fInv = det (f) fInv (a0, A) = det a 0 I 2 + A. Convert the result from the symfunmatrix data type to the symfun data type using symfunmatrix2symfun. I have the determinant of a 4x4 matrix I need to solve for uni. I understand that if a row (or column) is the same then det of a matrix will equal zero, however the rows = the columns in this example. So this rule does not apply. I can not see a way to multiply a row or column to get zeros. Working with matrices as transformations of the plane. Intro to determinant notation and computation. Interpreting determinants in terms of area. Finding area of figure after transformation using determinant. Understand matrices as transformations of the plane. Proof: Matrix determinant gives area of image of unit square under mapping. And the result will have the same number of rows as the 1st matrix, and the same number of columns as the 2nd matrix. Example from before: In that example we multiplied a 1×3 matrix by a 3×4 matrix (note the 3s are the same), and the result was a 1×4 matrix. UCZdPoA.

determinant of a 4x4 matrix example