The determinant of the matrix formed by the basis is negative, so it is not right-handed: Determine if linear transformation corresponding to is orientation-preserving or orientation-reversing: As , the mapping is orientation-preserving: Show that the following matrix is not a rotation matrix: Yes, and no. One method of finding the determinant of an nXn matrix is to reduce it to row echelon form. It should be in triangular form with non-zeros on the main diagonal and zeros below the diagonal, such that it looks like: [1 3 5 6] [0 2 6 1] [0 0 3 9] [0 0 0 3] pretend those row vectors are combined to create a 4x4 matrix. Upper triangular matrices are matrices in which all entries below the main diagonal are 0. The main diagonal is the set of entries that run from the upper left-hand corner of the matrix down to the lower right-hand corner of the matrix. Lower triangular matrices are matrices in which all entries above the main diagonal are 0. I have got a matrix with dimension 8267X4. I have to find the determinant for every 4X4 subset in the matrix to find coplanarity and i have to store the values. Kindly anyone suggest me with the solution. So another methods to find coplanarity of the points. I am looking forward for your help. Determinant of a 4×4 matrix is a unique number that is calculated using a special formula. If a matrix is of order n x n then it is a square matrix. So, here 4×4 is a square matrix having 4 rows and 4 columns. Also for a square matrix A that is of the order , its determinant is written as |A|. [2] Find the determinants of the matrices A 3 = λ 0 −1 0 λ−10 −10λ ,A 4 = λ 00−1 0 λ −10 0 −1 λ 0 −100λ . What is the determinant of the n×n matrix A n with the same pattern? answer: work: Page 2 Continued on back of page Free matrix Characteristic Polynomial calculator - find the Characteristic Polynomial of a matrix step-by-step Find determinant of NxN Matrix using recursion: Actual detM = 8, Expected detM = 8 Test Pass: True Matrix 4x4: Actual detM = 20, Expected detM = 20 Test Pass: True Matrix 10x10: Actual detM = 999, Expected detM = 999 Test Pass: True Share. Improve this answer. Follow edited Mar 25, 2022 at 1:41. answered Mar 24 determinant of 4x4 matrix. Natural Language. Math Input. Extended Keyboard. Examples. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. This course contains 47 short video lectures by Dr. Bob on basic and advanced concepts from Linear Algebra. He walks you through basic ideas such as how to solve systems of linear equations using row echelon form, row reduction, Gaussian-Jordan elimination, and solving systems of 2 or more equations using determinants, Cramer's rule, and more. RruPn.