275 results for "matrices".
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Question in MATH6005 Semester 1 2020Question involving distributing the transpose operator across a number of matrices that are multiplied.
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Question in Foundation Maths
Adding and subtracting two 3x3 matrices.
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Question in Musa's workspace
Multiplication of $2 \times 2$ matrices.
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Question in Musa's workspace
Addition, subtraction and multiplication by a scalar for 2 x 2 matrices.
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Question in Musa's workspace
Multiplication and adding matrices.
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Exam (4 questions) in .Matrix Algebra
2x2 by ad-bc, 3x3 by Laplace expansion, properties of determinants
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Exam (5 questions) in .Matrix Algebra
Multiplication of square and non square matrices, Identity matrices and zero matrices
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Exam (3 questions) in .Matrix AlgebraScalar Multiplication of matrices, plus used in combination with addition & subtraction
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Exam (4 questions) in .Matrix AlgebraAddition and subtraction of random matrices.
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Exam (4 questions) in .Matrix AlgebraBasic definitions: Order, elements, Trace and Transpose.
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Question in MATH6058 Engineering Maths 1
Multiplication of $2 \times 2$ matrices.
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Question in .Matrix Algebra
Determinant of n x m matrix by Laplace Expansion across top row.
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Question in Musa's workspace
Addition, subtraction and multiplication by a scalar for 2 x 2 matrices.
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Question in Musa's workspace
Multiplication of $2 \times 2$ matrices.
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Question in XE420
aij notation and definition of the order of a matrix.
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Question in XE420
Find the determinant and inverse of three $2 \times 2$ invertible matrices.
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Question in XE420
Multiplication of matrices of different sizes.
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Question in XE420
Addition, subtraction and multiplication by a scalar for 2 x 2 matrices.
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Question in XE420
Exercises in multiplying matrices.
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Question in XE420
Multiplication of matrices of different sizes.
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Question in XE420
Multiplication of $2 \times 2$ matrices.
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Question in Julia Goedecke's contributions
Example of an explore mode question. Student is given a 3x3 matrix and is asked to find the characteristic polynomial and eigenvalues, and then eigenvectors for each eigenvalue. The part asking for eigenvectors can be repeated as often as the student wants, to be used for different eigenvalues.
Assessed: calculating characteristic polynomial and eigenvectors.
Feature: any correct eigenvalue will be recognised by the marking algorithm, even multiples of the obvious one(s) (which can be read off from the reduced row echelon form)
Randomisation: Not randomised, just using particular matrices. I am still working on how to randomise this for 3x3; a randomised 2x2 version exists. I have several different versions for 3x3 (not all published yet), so I could make a random choice between these in a test.
The implementation uses linear algebra functions such as "find reduced echelon form" or "find kernel of a reduced echelon form", from the extension "linalg2".
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Exam (21 questions) in Mobius formative/summative tests
No time limit - unlimited regeneration of questions allowed from these groups:
- Notation and Algebra
- Calculus - Differentiation
- Calculus - Integration
- Trigonometry and Matrices
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Question in Mobius ENG - summative test
Addition and subtraction of matrices; multiplication by scalar.
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Exam (3 questions) in Martin's workspace
Quiz to assess matrix addition, subtraction, multiplication and multiplication by scalar, determinants and inverses, solving a system of simultaneous equations.
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Question in Martin's workspace
Multiplication of matrices.
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Question in Martin's workspace
Multiplication of matrices.
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Question in Martin's workspace
Multiplication of matrices.
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Question in Martin's workspace
Addition and subtraction of matrices; multiplication by scalar.
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Question in Julia Goedecke's contributions
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.
The interesting part about the implementation is the way the output is generated for "Advice".