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Direct linkXu, Junqin; Zhao, Likuan – International Journal of Mathematical Education in Science & Technology, 2006
Eigenvalue is an important concept in Linear Algebra. It is well known that the eigenvectors corresponding to different eigenvalues of a square matrix are linear independent. In most of the existing textbooks, this result is proven using mathematical induction. In this note, a new proof using Vandermonde determinant is given. It is shown that this…
Descriptors: Mathematical Concepts, Algebra, Mathematical Logic, Mathematics Education
Koeber, Martin; Schafer, Uwe – International Journal of Mathematical Education in Science & Technology, 2006
An easy way to present the uniqueness of the square root of a positive semidefinite matrix is given.
Descriptors: Transformations (Mathematics), Matrices, Mathematical Logic, Equations (Mathematics)
Ghusayni, B. – International Journal of Mathematical Education in Science & Technology, 2005
Some examples from different areas of mathematics are explored to give a working knowledge of the computer algebra system Maple. Perfect numbers and Mersenne primes, which have fascinated people for a very long time and continue to do so, are studied using Maple and some questions are posed that still await answers.
Descriptors: Algebra, Mathematics Instruction, Computer Assisted Instruction, Computation
