149 results for "size".
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Question in .Differential CalculusInstructional "drill" exercise to emphasize the method.
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Question in .Matrix AlgebraScalar Multiplication (pre-defined sizes in answers)
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Question in .Matrix AlgebraScalar Multiplication (student-defines sizes in answers)
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Question in .Matrix AlgebraScalar Multiplication, addition and subtraction in combination (pre-defined sizes in answers)
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Question in .Matrix Algebra
Multiplying matrices (pre-defined sizes in answers)
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Question in .Matrix Algebra
Multiplying matrices (student-defines sizes in answers)
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Question in .Matrix Algebra
Multiplying matrices (pre-defined sizes in answers)
This set is designed to emphasise non-commutativity.
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Question in .Matrix Algebra
Multiplying matrices (pre-defined sizes in answers)
Zero matrices AND AB = 0 does not imply that either A = 0 or B = 0.
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Question in .Matrix Algebra
Multiplying matrices (pre-defined sizes in answers)
Introduces unit/identity matrices
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Question in Linear Algebra 1st year
In this demo question, you can see either 2 or 3 gaps depending on the variable \(m\), and the marking algorithm doesn't penalise for the empty third gap in cases when it is not shown.
Reason to use it: for vectors or matrices containing only numbers, one can easily use matrix entry to account for a random size of an answer. But this does not work for mathematical expressions. There we have to give each entry of the vector as a separate gap, which then becomes a problem when the size varies. This solves that problem. For this reason I've included two parts: one very simple one that just shows the phenomenon of variable number of gaps, and one which is more like why I needed it.
Note that to resolve the fact that when \(m=2\), the point for the third gap cannot be earned, I have made it so that the student only gets 0 or all points, when all shown gaps are correctly filled in.
Note the use of Ax[m-1] in the third gap "correct answer" of part b): if you use Ax[2], then it will throw an error when m=2, as then Ax won't have the correct size. So even though the marking algorithm will ignore it, the question would still not work.
Bonus demo if you look in the variables: A way to automatically generate the correct latex code for \(\var{latexAx}\), since it's a variable size. I would usually need that in the "Advice", i.e. solutions, rather than the question text.
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Question in Linear Algebra 1st year
In this demo question, you can see either 2 or 3 gaps depending on the variable \(m\), and the marking algorithm doesn't penalise for the empty third gap in cases when it is not shown.
Reason to use it: for vectors or matrices containing only numbers, one can easily use matrix entry to account for a random size of an answer. But this does not work for mathematical expressions. There we have to give each entry of the vector as a separate gap, which then becomes a problem when the size varies. This solves that problem. For this reason I've included two parts: one very simple one that just shows the phenomenon of variable number of gaps, and one which is more like why I needed it.
Note that to resolve the fact that when \(m=2\), the point for the third gap cannot be earned, I have made it so that the student only gets 0 or all points, when all shown gaps are correctly filled in.
Note the use of Ax[m-1] in the third gap "correct answer" of part b): if you use Ax[2], then it will throw an error when m=2, as then Ax won't have the correct size. So even though the marking algorithm will ignore it, the question would still not work.
Bonus demo if you look in the variables: A way to automatically generate the correct latex code for \(\var{latexAx}\), since it's a variable size. I would usually need that in the "Advice", i.e. solutions, rather than the question text.
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Question in Linear Algebra 1st year
Demo of automatically generating latex strings to out put vectors/matrices of variable size and that are calculated by some formula.
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Question in Linear Algebra 1st year
Matrix addition, with the added test of whether they understand that only matrices of the same size can be added.
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Question in Linear Algebra 1st year
Adding and subtracting vectors of random size, including resolving brackets. Advice (i.e. solution) has conditional visibility to show only the correct size.
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Question in Linear Algebra 1st year
Adding vectors of random size. Advice (i.e. solution) has conditional visibility to show only the correct size.
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Question in Linear Algebra 1st year
Adding matrices of random size: two to four rows and two to four columns. Advice (i.e. solution) has conditional visibility to show only the correct size.
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Question in Linear Algebra 1st year
Calculating with vectors of random size, including resolving brackets. Advice (i.e. solution) has conditional visibility to show only the correct size.
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Question in Linear Algebra 1st year
Find the size of a matrix.
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Question in Linear Algebra 1st year
Easy true/false questions to check if the meaning of a size of a matrix is understood, in terms of numbers of rows and columns.
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Question in Linear Algebra 1st year
Decide if matrix sizes match so they can be added.
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Question in Linear Algebra 1st year
Finding a matrix from a formula for each entry, which involves the row and column numbers of that entry. Not randomized because it's the same as in our workbook. But the variables are made in a way that it should be easy to randomise the size of the matrix, and the to change the formula for the input in not too many places.
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Question in Linear Algebra 1st year
Finding a matrix from a formula for each entry, which involves the row and column numbers of that entry. Randomized size of the matrices and formula.
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Question in Linear Algebra 1st year
checking by size whether two matrices can be multiplied. Student either gives size of resulting product, or NA if matrices can't be multiplied.
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Question in Linear Algebra 1st year
checking by size whether two matrices can be multiplied. Student either gives size of resulting product, or NA if matrices can't be multiplied.
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Question in Linear Algebra 1st year
Finding a matrix from a formula for each entry, which involves the row and column numbers of that entry. Randomized size of the matrices and formula.
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Question in Linear Algebra 1st year
Calculating with vectors in \(\mathbb{R}^4\), including resolving brackets. The fixed vector size is so that a test is fair to all students.
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Question in Demos
A question designed to demonstrate the exam-level variable overrides feature. The student must work out the median of a given sample. The exam can override size of the sample, the range of numbers to pick, and whether the sample should be shown to the student in increasing order.
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Question in Content created by Newcastle University
Simple probability question. Counting number of occurrences of an event in a sample space with given size and finding the probability of the event.
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Question in Geschichte der Mathematik
Aufgabe zum Chinesischen Wurzelziehen, inspiriert von: Katz, V. J. (2009). A history of mathematics: An introduction (3. ed.). Boston: Addison-Wesley (pp. 199/200).
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Question in Geschichte der Mathematik
Aufgabe zum Chinesischen Wurzelziehen, inspiriert von: Katz, V. J. (2009). A history of mathematics: An introduction (3. ed.). Boston: Addison-Wesley (pp. 199/200).