Solve for the determinants of the items using a combination of row operations and cofactor method. Also find the adjoint of the matrix.

Q: 7x - y+ 8z=10 Solve the system using adjoint of a matrix: x+4y+ 5z=2 - 5r+2y+ 87=3

A:

Q: Find the area óf the triangle with vertices (2,0), (4, 5), (7, 3) using determinants.

A: The area of a triangle by using the determinant method is shown below.

Q: Q2) Solve the following linear system equations by matrix: 5x + 4y 2,5x + 3z 2 and 4y + 3z = 2.

A:

Q: Use the inverse matrix method to determine the solution quantity of the equation the system.

A: Step 1:Step 2:Step 3:

Q: Use the inverse of the coefficient matrix to solve the following system of equations.…

A: The given system of eqution

Q: Q4) A- Graph the following functions and determine (domain, range): (1) y=2-√√x-1 (2) x²+1/ 3x³- 7x²…

A:

Q: Describe the procedures to find the factor of a matrix, matrix norm, column norm and row norm.

A: Factor of a matrix: Let,  A=1abc1bac1cab Performing row operations, 1abc1bac1cab…

Q: 3. Consider the linear system 2x1 + 4x2 -12, 4x1 + 5x2 = 24. = (a) Using the formula for the inverse…

A:

Q: (-81,24,16)

A: Determinant of matrix is=-5258

Q: Solve explicitly the system of linear equations  2u+v+2x+y+3z=0 5u+3v-4x+3y-6z=0 u+v-8x+y-12z=0…

A: Given linear system is homogenous kind. Homogenous system ids always consistent, either it can have…

Q: Consider the system of linear equations 2x + 7y = 40, 2x - 9y = 110. Write this system in matrix…

A:

Q: 7) Express the following system of linear equations as a single matrix equation. || х — 4у + 4z %3…

A: Given

Q: Create a system of linear equations A = such that the matrix A is a 2x2 matrix with a determinant of…

A: Assume Its determinant Given determinant

Q: (a) Write b as a linear combination of the column vectors a1 and a2. (b) Use the result from part…

A:

Q: Use the determinant of the coefficient matrix to determine whether the system of linear equations…

A:

Q: Checking relation properties by using matrices.

A: To check the properties of relation using matrices.

Q: Q1: Solve the set of equations using matrix: x+ 2y +3z= 1 y + 4z = 0 5x + 6y = 1

A:

Q: Solve the system  { x     +     y    =    -14} { 4x   -     4y  =    0} { 14x  -   10y  =   -28}…

A: I have written the given system as Augmented matrix and by row operations i have solved the problem

Q: Find the matrix representations for R² and R-1.

A: First we define relation matrix for R:

Q: a system of linear equations is given. a) Express the system of equations in matrix form. b) find…

A:

Q: Use the determinant of the coefficient matrix to determine whether the system of linear equations…

A: The given system is,

Q: 5) Solve the system of equations using a matrix. Describe the geometry of the solutions. x + 3y + 6z…

A:

Q: -) Use the inverse of the coefficient matrix to solve the system: x₁ + 2x₂ + 2x3 = 2 x₁ + x₂ + x3 =…

A: