For Exercises 5-8 a. Evaluate the determinant of the coefficient matrix. b. Based on the value of the determinant from part (a), can an inverse matrix or Cramer's rule be used to solve the system? c. Solve the system using an appropriate method. x − 3 y + 7 z = 1 − 2 x + 5 y − 11 z = − 3 x − 5 y + 13 z = − 1
For Exercises 5-8 a. Evaluate the determinant of the coefficient matrix. b. Based on the value of the determinant from part (a), can an inverse matrix or Cramer's rule be used to solve the system? c. Solve the system using an appropriate method. x − 3 y + 7 z = 1 − 2 x + 5 y − 11 z = − 3 x − 5 y + 13 z = − 1
Solution Summary: The determinant of the coefficient matrix for the given system of equations is 0.
For exercise,
a. Evaluate the determinant of the coefficient matrix.
b. Based on the value of the determinant from part (a), can an inverse matrix or Cramer’s rule be used to solve the system?
c. Solve the system using an appropriate method.
5x-2y=1
x-0.4y=4
Suppose you have the following system of equations:
35 x1 + 31 x2 + 12 x3 = 2974
7 x1 + 14 x2 + 27 x3 = 2054
20 x1 + 13 x2 + 14 x3 = 1830
a. Convert this system of equations in the matrix form and calculate the determinant of the coefficient matrix. What is the determinant of the coefficient matrix?
b. Take the coefficient matrix, and calculate its co-factors, and the adjoint. Use the adjoint to invert the matrix. Use inverse of the coefficient matrix to solve the system of equations.
Right now, enter the following values:
c. What is the value of c13 , c23 , C32 ?
d. What is the value of x1? x2, x3?
If the determinant of a 4×4 matrix A is det(A)=−5, and the matrix B is obtained from A by swapping the second and fourth columns, thendet(?)=
University Calculus: Early Transcendentals (3rd Edition)
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HOW TO FIND DETERMINANT OF 2X2 & 3X3 MATRICES?/MATRICES AND DETERMINANTS CLASS XII 12 CBSE; Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=bnaKGsLYJvQ;License: Standard YouTube License, CC-BY