S3W9 Review formative

Last updated 8 months ago

16 questions

1

4

Required

1

Library

S3W9 Review formative

Last updated 8 months ago

16 questions

10

1

Draggable item		Corresponding Item

1

what is an algebraic understanding of the solution to a 3x3 set of simultaneous equations with a coefficient matrix with a determinant of 0?

1

what is an graphical understanding of the solution to a 3x3 set of simultaneous equations with a coefficient matrix with a determinant of 0?

1

Explain what the inverse matrix does

1

Can you explain why
why
for matrices A, B and C?

1

Given the following equation, you need to construct A_x to find the solution to x using Cramers rule. you have your matrix calculator handy, what matrix will you fill in for A_x?

us the following Latex code in the answer and press enter. it will give you a null matrix. you can then replace all the zeros with the correct number. \begin{bmatrix}0&0&0\\0&0&0\\0&0&0\end{bmatrix}

4

Solve the following system using any method.

Required

1

Enter the ordered pair to maximize P:
3x+6y≤50
y≥4
4x-3y≥8
2x+8y=P

match the vocab

Draggable item		Corresponding Item
Inverse Matrix		Matrix A in the following representation of a system of 3 simultaneous linear equations
Matrix multiplication		Matrix B in the following representation of a system of 3 simultaneous linear equations
Matrix of minors
Identity matrix		A^-1
Scalar multiplication		matrix composed from taking each element of another matrix, crossing out the row and column of that element, taking the determinant of whatever is left in the matrix, and replacing the element with that number.
Solution Matrix		when you take one number and multiply every element of a matrix by that number
Coefficient Matrix		Multiplying different matrices by different coefficients and then adding them together
linear combination		matrix formed by multiplying corresponding elements of a row to their matching elements in a column, and then adding those numbers together.

Which of the following is the determinant of

-29

Which of the following is the inverse of

-29

what is an algebraic understanding of the solution to a 3x3 set of simultaneous equations with a coefficient matrix with a determinant of 0?

what is an graphical understanding of the solution to a 3x3 set of simultaneous equations with a coefficient matrix with a determinant of 0?

Which of the following is not a consequence of a determinant of zero?

the matrix doesn't have an inverse

The system does not have a singular solution

Kramer's rule will break the 11th commandment

gaussian elimination will yield the matrix's inverse.

Explain what the inverse matrix does

Inverse matrices must (check all that apply)

be a square matrix

be the same size as the matrix that they invert

all elements must be the opposite sign as the original

Can you explain why
why
for matrices A, B and C?

Given the following equation, you need to construct A_x to find the solution to x using Cramers rule. you have your matrix calculator handy, what matrix will you fill in for A_x?

us the following Latex code in the answer and press enter. it will give you a null matrix. you can then replace all the zeros with the correct number. \begin{bmatrix}0&0&0\\0&0&0\\0&0&0\end{bmatrix}

Solve the following system using any method.

Enter the ordered pair to maximize P:
3x+6y≤50
y≥4
4x-3y≥8
2x+8y=P

Vocabulary Review: Select the correct word(s) to complete the sentence.

The partial solution of the system of equations at the left uses ?.

equivalent systems

substitution

elimination

The partial solution represents

the point where two lines meet

The line where two planes meet

the point where three lines meet

the point where three planes meet

If you found another partial solution eliminating z from a different pair of equations and that partial solution was 2x+10y=3 you would know

the two lines were parallel and there would be no solution

the planes were parallel, and there was no solution

All three planes intersect on the same line, there were infinite solutions

all three planes were coplanar, there were infinite solutions

match the vocab

Inverse Matrix

Matrix A in the following representation of a system of 3 simultaneous linear equations

Matrix multiplication

Matrix B in the following representation of a system of 3 simultaneous linear equations

Matrix of minors

Identity matrix

A^-1 

Scalar multiplication

matrix composed from taking each element of another matrix, crossing out the row and column of that element, taking the determinant of whatever is left in the matrix, and replacing the element with that number.

Solution Matrix

when you take one number and multiply every element of a matrix by that number

Coefficient Matrix

Multiplying different matrices by different coefficients and then adding them together

linear combination

matrix formed by multiplying corresponding elements of a row to their matching elements in a column, and then adding those numbers together.

Which of the following is the determinant of 

-29

Which of the following is the inverse of 

-29

Which of the following is not a consequence of a determinant of zero?

the matrix doesn't have an inverse

The system does not have a singular solution

Kramer's rule will break the 11th commandment

gaussian elimination will yield the matrix's inverse.

Inverse matrices must (check all that apply)

be a square matrix

be the same size as the matrix that they invert

all elements must be the opposite sign as the original

Vocabulary Review: Select the correct word(s) to complete the sentence. 

The partial solution of the system of equations at the left uses __?__.

equivalent systems

substitution

elimination

The partial solution represents

the point where two lines meet

The line where two planes meet

the point where three lines meet

the point where three planes meet

If you found another partial solution eliminating z from a different pair of equations and that partial solution was 2x+10y=3 you would know

the two lines were parallel and there would be no solution

the planes were parallel, and there was no solution

All three planes intersect on the same line, there were infinite solutions

all three planes were coplanar, there were infinite solutions

S3W9 Review formative

S3W9 Review formative

what is an algebraic understanding of the solution to a 3x3 set of simultaneous equations with a coefficient matrix with a determinant of 0?

what is an graphical understanding of the solution to a 3x3 set of simultaneous equations with a coefficient matrix with a determinant of 0?

Explain what the inverse matrix does

Can you explain why why for matrices A, B and C?

Solve the following system using any method.

Enter the ordered pair to maximize P:3x+6y≤50y≥44x-3y≥82x+8y=P

match the vocab

Which of the following is the determinant of

Which of the following is the inverse of

what is an algebraic understanding of the solution to a 3x3 set of simultaneous equations with a coefficient matrix with a determinant of 0?

what is an graphical understanding of the solution to a 3x3 set of simultaneous equations with a coefficient matrix with a determinant of 0?

Which of the following is not a consequence of a determinant of zero?

Explain what the inverse matrix does

Inverse matrices must (check all that apply)

Can you explain why why for matrices A, B and C?

Solve the following system using any method.

Enter the ordered pair to maximize P:3x+6y≤50y≥44x-3y≥82x+8y=P

Vocabulary Review: Select the correct word(s) to complete the sentence. The partial solution of the system of equations at the left uses __?__.

The partial solution represents

If you found another partial solution eliminating z from a different pair of equations and that partial solution was 2x+10y=3 you would know

Can you explain why
why
for matrices A, B and C?

Enter the ordered pair to maximize P:
3x+6y≤50
y≥4
4x-3y≥8
2x+8y=P

Can you explain why
why
for matrices A, B and C?

Enter the ordered pair to maximize P:
3x+6y≤50
y≥4
4x-3y≥8
2x+8y=P

Vocabulary Review: Select the correct word(s) to complete the sentence.

The partial solution of the system of equations at the left uses ?.