linear algebra You should write out major steps Use Crammer

(linear algebra)

You should write out major steps.

Use Crammer rule to solve the follwing inear system: Use Crammer rule to solve the following linear system: 4x + 5y = 13 5x + 6y = 17 Find a basis for the column space and null space of A, respectively. What is the rank and nullity of A? A=12511 5847

Solution

Your matrix

Write down the main matrix and find its determinant

D = -1

Very detailed solution  

Replace the 1st column of the main matrix with the solution vector and find its determinant

D1 = -7

Very detailed solution  

Replace the 2nd column of the main matrix with the solution vector and find its determinant

D2 = 3

Very detailed solution  

x1 = D1 / D = -7 / (-1) = 7

x2 = D2 / D = 3 / (-1) = -3

Hide solution

Solution set:

x1 = 7

x2 = -3

?	X1	X2	b
1	4	5	13
2	5	6	17