Numerical Linear algebra. LU decomposition. - Find a matrix A that admits no LU decomposition, even if we only require that L is lower triangular ( not necessarily unit!) and U is upper triangular. Justify your answer.
Linear Algebra - The material is from Characteristic Polynomial.
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Induction Problem - Attached in word document
Numbers of the form tn = n (n+1) / 2 are called triangular numbers, because marbles arranged in an equilateral triangle, n on a side, will total... (see attachment)
Area of a triangular sail - A triangular sail has an area of x^2 + 5x + 6 square meters and a height of x + 3 meters. Find the length of the sail’s base.