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MATRICES FORMULA SHEET 1) Characteristic Equation: i) For a 3 3 matrix λ λ 2 λ 3 0 2 1 3 is the characteristic equation where 1 = sum of the leading diagonal elements, 2 = sum of the...
Math 10B Spring 2018 Matrix Algebra Worksheet 1 Solutions (i)Write 2 2 matrices A, B, C such that AB = AC but B 6= C. Solution: First, a helpful observation. Suppose A is invertible and AB = AC. Then multiplying both sides by A 1 gives A 1(AB) = A 1(AC). Using distributivity and the fact that A 1A = I, this implies that IB = IC and therefore B = C.
Name: Level 2 Further Maths. Matrices. Ensure you have: Pencil or pen. Guidance. Read each question carefully before you begin answering it. Check your answers seem right. Always show your workings. Revision for this topic. www.corbettmaths.com/more/further-maths/ 0 7. matrix 3A. 2. B = 8 −1) 9. .............................. (1)
All basic arithmetic operations can be performed on matrices like addition, subtraction, multiplication, and division. The two matrices must be of the same size in order to perform addition and subtraction. Matrices worksheets help students solve problems based on the properties of matrices.
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• Use matrices to determine the coordinates of a translated or dilated figure. • Use matrix multiplication to find the coordinates of a reflected or rotated figure. Determinants (pp. 182–188) 22 1 1
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