236 results for "inverse".
-
Question in MXB241 Weekly Quizzes
No description given
-
Question in Elena's workspace
No description given
-
Question in MXB241 Weekly Quizzes
No description given
-
Question in XE420
Cofactors Determinant and inverse of a 3x3 matrix.
-
Question in XE420
Find the determinant and inverse of three $2 \times 2$ invertible matrices.
-
Question in XE420
Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.
-
Question in Content created by Newcastle University
Inverse and division of complex numbers. Four parts.
-
Question in Algebra
Questions to test if the student knows the inverse of an even power (and how to solve equations that contain a single power that is even).
-
Question in Algebra
Questions to test if the student knows the inverse of an odd power (and how to solve equations that contain a single power that is odd).
-
Question in Mobius ENG - summative test
Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.
-
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.
-
Question in Julia Goedecke's contributions
Educational calculation tool rather than "question".
This allows the student to input a square matrix (max rows 5). Then the student can decide to swap some rows, or multiply some rows, or add multiples of one row to other rows. The student only has to input what operation should be performed, and this is automatically applied to the matrix and the identity matrix (or what it has got to). This question has no marks and no feedback as it's just meant as a "calculator". It has some checks in so students know when they are not entering a square matrix or a valid row number etc.
It has some rounding to 13 decimal places, as otherwise some fraction calculations become incorrectly displayed as a very small number instead of 0.
It would be possible to extend to more than 5 rows, one just has to put in a lot more variables and so on. I just had to choose some place to stop.
-
Question in Ugur's workspace
Students are given an exponential equation and asked to evaluate it at two points.
The constants in the exponential are randomised.
-
Question in Julia Goedecke's contributions
Example of an explore mode question. Student is given a 2x2 matrix with eigenvalues and eigenvectors, and is asked to decide if the matrix is invertible. If yes, second and third parts are offered where the student should give the eigenvalues and eigenvectors of the inverse matrix.
Assessed: remembering link between 0 eigenvalue and invertibility. Remembering link between eigenvalues and eigenvectors of matrix and its inverse.
Randomisation: a random true/false for invertibility is created, and the eigenvalues a and b are randomised (condition: two different evalues, and a=0 iff invertibility is false), and a random invertible 2x2 matrix with determinant 1 or -1 is created (via random elementary row operations) to change base from diag(a,b) to the matrix for the question. Determinant 1 or -1 ensures that we keep integer entries.
The implementation uses linear algebra functions such as "find reduced echelon form" or "find kernel of a reduced echelon form", from the extension "linalg2".
-
Exam (8 questions) in Martin's workspace
A variety of trigonometric equations which can be solved using inverse operations.
-
Question in SPF Math1060
$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.
-
Question in rhaana's workspace
Based on Chapter 8, quite loosley.Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.
-
Question in Ugur's workspace
No description given
-
Question in Ugur's workspace
No description given
-
Question in Marie's linear algebra workspace
Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.
-
Question in Elena's workspace
No description given
-
Question in SPF Math1060
This question asks learners to use row operations to find the inverse of a 3x3 matrix.
-
Question in DIAGNOSYS
No description given
-
Question in Marie's linear algebra workspace
Find the determinant and inverse of three $2 \times 2$ invertible matrices.
-
Question in Hayley's workspace
Find the inverse of three $2 \times 2$ invertible matrices.
-
Question in Threshold Test 4 - Matrices
No description given
-
Question in Lineare Algebra 1
Inverse and division of complex numbers. Four parts.
Original: https://numbas.mathcentre.ac.uk/question/11786/arithmetics-of-complex-numbers-iii/ by Newcastle University Mathematics and Statistics
Translated to German.
-
Exam (5 questions) in Marie's linear algebra workspace
Quiz to assess matrix addition, subtraction, multiplication and multiplication by scalar, determinants and inverses, solving a system of simultaneous equations.
-
Question in Marie's linear algebra workspace
Find the determinant and inverse of three $2 \times 2$ invertible matrices.
-
Exam (7 questions) in Marie's linear algebra workspace
Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.
rebelmaths