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WorksheetsSystem of equations 1
Total questions: 21
Worksheet time: 48mins
Which of the following methods is not a direct method?
Gauss elimination
Gauss jordan
Gauss Jacobi
Which of the following methods is not an indirect method?
Gauss seidel
Gauss jordan
Gauss Jacobi
None
5x+6y= -10
3x-2y= -6
The cost of 5 apples and 2 bananas is Rs.80 . Three apples and 1 banana cost Rs.46. Write a system of equations.
5a+ 2b = 80
1b = 46
5a + 2b = 80
3a + 1b = 46
q + z = 80
q + z = 46
5q + 2z = 46
3q + 1z = 80
This is an example of a
System of Quadratic Equations
Reduced Row Echelon Form
Augmented Matrix
A Canine Doing a Backflip
What is an appropriate first row command to solve this by Gaussian Elimination?
2R2 + R2 -> R2
-2R1 + R2 -> R2
R3 +R2 --> R3
2R1 + R2 --> R2
Aina is simplifying the matrix using Gaussian Elimination. Did she complete the step correctly?
No, she should have changed the 2 to a zero and multiplied -2 by R2 and added R1
No, she wanted to change the 3 to a zero so she should have multiplied R2 and added it to R3
Yes. When you need a zero you multiply by the number's reciprocal.
No. Just punch in the calculator. Who cares about Carl Gauss
When an element is missing in an equation, what value must go into the matrix for it?
1
-1
0
NA
What is the value of z?
6
-6
-36
4
What is the value of y?
3
7
-1
2
What is the solution to this system?
{(2, 3, -1)}
{(3, -1, 2)}
{(-1, 3, 2)}
{(2, -1, 3)}
Use Gaussian Elimination or Gauss - Jordon Elimination to solve.
(1,6,-3)
(6,1,-3)
(3,1,6)
(-3,1,6)
The aim of elimination steps in Gaussian elimination method is to reduce the coefficient matrix to ____________
diagonal
identity
lower triangular
upper triangular
9. In Gaussian elimination method, original equations are transformed by using _____________
Column operations
Row Operations
Mathematical Operations
Subset Operation
Solve the given system of equation by Gaussian Elimination method.
3x + 4y – z = -6
-2y + 10z = -8
4y – 2z = -2
(-2, -1, -1)
(-1, -2, -1)
(-1, -1, -2)
(-1, -1, -1)
The reduced form of the Matrix in Gaussian Elimination method is also called ____________
Column Echelon Form
Row-Column Echelon Form
Column-Row Echelon Form
Row Echelon Form
In the Gauss Jordan method , the coefficient matrix is reduced into a____________matrix.
diagonal
identity
lower triangular
upper triangular
when the diagonal elements are zero, then what should be done to find a solution by
Gauss elimination or Jordan method.
replace 0 by nonzero values
cannot find the solution
rearrange the given system of equations
we can proceed to row operations without making any changes
Which is similar to guass seidal method ?
Gauss jordan
Gauss jacobi
Guass elimination
None of these
Using seidal method , the first iterative solution for x from the equations 2x+3y+z=15, 4x+2y+z=30, 8x+3y+4z=60 is .....
5
15
7.5
3.5
