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S3W9 Review formative

Last updated 3 months ago
16 questions
10

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

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

1

The partial solution represents

1

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

1
1

match the vocab

Draggable itemCorresponding Item
Matrix multiplication
Matrix A in the following representation of a system of 3 simultaneous linear equations
linear combination
Matrix B in the following representation of a system of 3 simultaneous linear equations
Solution Matrix
Scalar multiplication
A^-1
Coefficient Matrix
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.
Inverse Matrix
when you take one number and multiply every element of a matrix by that number
Matrix of minors
Multiplying different matrices by different coefficients and then adding them together
Identity matrix
matrix formed by multiplying corresponding elements of a row to their matching elements in a column, and then adding those numbers together.
1

Which of the following is the determinant of

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Which of the following is the inverse of

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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

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

1

Explain what the inverse matrix does

1

Inverse matrices must (check all that apply)

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