21 results for "wbq".
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Question in Linear Algebra 1st year
Calculate matrix times vector.
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Question in Linear Algebra 1st year
Use matrix multiplication to get an equation for \(k\) which is then to be solved.
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Question in Linear Algebra 1st year
A combination of tasks: checking which matrix products exist, calculating some of these products, calculating transpose matrices. Comparing product of transpose with transpose of product. Experiencing associativity of matrix multiplication. Not much randomisation, only in which matrix product is computed as second option.
Comprehensive solution written out in Advice.
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Question in Linear Algebra 1st year
Student can choose one of all possible matrix products from the matrices given. Meant for voluntary extra practice. No extensive solutions: referred to other questions for this.
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Question in Linear Algebra 1st year
Calculate matrix times vector.
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Question in Linear Algebra 1st year
First compute matrix times vector for specific vectors. Then determine domain and codomain and general formula for the matrix transformation defined by the matrix.
Randomising the number of rows in the matrix, m, makes the marking algorithm for part c) slightly complicated: it checks whether it should include the third gap or not depending on the variable m. For the correct distribution of marks, it is then necessary to do "you only get the marks if all gaps are correct". Otherwise the student would only get 2/3 marks when m=2, so the third gap doesn't appear.
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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
A combination of tasks: checking which matrix products exist, calculating some of these products, calculating transpose matrices. Comparing product of transpose with transpose of product. Experiencing associativity of matrix multiplication. Not much randomisation, only in which matrix product is computed as second option.
Comprehensive solution written out in Advice.
-
Question in Linear Algebra 1st year
First compute matrix times vector for specific vectors. Then determine domain and codomain and general formula for the matrix transformation defined by the matrix.
Randomising the number of rows in the matrix, m, makes the marking algorithm for part c) slightly complicated: it checks whether it should include the third gap or not depending on the variable m. For the correct distribution of marks, it is then necessary to do "you only get the marks if all gaps are correct". Otherwise the student would only get 2/3 marks when m=2, so the third gap doesn't appear.
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Question in Linear Algebra 1st year
First compute matrix times vector for specific vectors. Then determine domain and codomain and general formula for the matrix transformation defined by the matrix.
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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
Simple scalar multiplication of a general vector with the important scalars 0, 1, -1. Just the variable name is randomised.
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Question in Linear Algebra 1st year
Calculate matrix times vector.
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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
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
simple sums of matrices and scalar mult of matrices.
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Question in Linear Algebra 1st year
Calculate trace of a matrix.
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Question in Linear Algebra 1st year
Calculate trace of a matrix. Fixed matrices as the same as in our workbook.
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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
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
Find the size of a matrix.