Determine which property of determinants the equation illustrates. 1 3 2 0 0 0 96 -8 = 0 If one row of a matrix is a multiple of another row, then the determinant of the matrix is zero. If one row of a matrix consists entirely of zeros, then the determinant of the matrix is zero. If two columns of a matrix are interchanged, then the determinant of the matrix changes sign. If a row of a matrix is multiplied...
Combine the methods of row reduction and cofactor expansion to compute the determinant. −1 −5 −4 −1 0 4 8 0 −3 −5 −4 −1 6 −5 −5 0
Find the determinant by row reduction to echelon form. 1 3 1 0-4 1 0-4-2-4 0 37 5 -3
These are linear algebra problems.
Let 5 1 7 0 0 -3 3 A= 5 1 0 13 5 1 2 Find M23 and C23, M23 C23= Answer *1: exact number, no tolerance Answer *2: exact number, no tolerance Evaluate the determinant of the given matrix by reducing the matrix to row-echelon form. 2 -2 -6 6 -7 0 -2 -4 4 1 0 A = 4 0 0 2 0 0 0 3 .5 det(A)
PLEASE ANSWER ALL PARTS
1. (2 points) For the matrix A=| 3 | 6 | Evaluate (a) A, AA* and AA; (b) the value P (A), where P(x)-x3-1. 2. (1 point) Compute the determinant of the matrix A = | α β 2 -8 6 8 2 -7 7 10 3, (1 point) Compute | 1 -3 0 6 4. (1 point) Find the inverse matrix A-' of the matrix A=1 5 3-2 7 4 -3 5. (3 points) Find...
Total Marks 5 (1 mark each question) 1 2 0 1 0 1 0 -4 Question 1: Find the determinant of by row reduction method. 2 -2 -2 0 13 14 Question 2: Find the inverse of the matrix A = 0 -2 1 using cofactor or adjugate method. 0 0 3 Question 3: Find the area of the region E bounded by the ellipse whose equation + =9 4 4: Find area of the parallelogram whose vertices are: Question...
(1 point) Compute the determinant of the matrix -1 -2 -4 -6 -7 -7 7 7 A= 0 0 0 0 -4 -5 7 det(A) (1 point) Find the determinant of the matrix 6 A- 6 -9 -7 det(A) (1 point) Find the determinant of the matrix 2 2 -2 B= 1 -1 2 3 -2 det (B)
Use Gauss elimination, compute the determinant of the matrix o 0 2 0-1 4 4 5 1 2 0 0 7 2 5 -1 5 6 5 0 -1 5 0 4 8
# 2 and # 3
2 -6 4 -4 0 -4 6 1. Define A = 8 01 . Determine, by hand, the LU factorization, of A. You may of course check your answer using appropriate technology tools. Then use your result to solve the system of equations Ax b, where b--4 2 0 5 2 2. Suppose A-6 -3 133Even though A is not square, it has an LU factorization A LU, 4 9 16 17 where L and...
3 -5 0 1 0 2 0 0 Consider the matrix A= -1 -1 0 3 1 0 -3 2 Which of the following statements about the determinant of A is true? det(2A) = 2 det A det(-A) = det A O Multiplying any row of Aby -1 does not change det A Interchanging two rows of A does not change det A