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Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
15) Give an example of a matrix expression in which you would first perform a matrix subtraction and then a matrix multiplication. Use any numbers and dimensions you would like but be sure that your expression isn't undefined. Many answers. Ex: 1 2 3 4 ⋅ (1 2 3 4 − a b c d) 16) A, B, and C are matrices: A(B + C) = AB + CA A) Always true B ...
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.
Math 54, Spring 2021 (Sections 102 and 104) Worksheet 9 Matrix Algebra 1. Suppose that A and B are 2 2 matrices such that A 1 2 = 1 5 and B 1 2 = 2 3 . Find a solution to (A+B)x = 1 2 . 2. Suppose that A and B are 2 2 matrices such that A 1 2 = 0 0 and B is invertible, with inverse B 1 = 1 2 3 4 . Find a nontrivial solution to (AB)x = 0. 3 ...
Matrix Algebra Worksheet 1. Write a 2 4 matrix. Write a 4 2 matrix. Multiply the two matrices that you just wrote. Write two matrices that you can't multiply. Write two matrices that you can multiply in one order but not in the other order. Write a matrix that is equal to its transpose. Write a square matrix that is not invertible.
15) Write an example of a matrix multiplication that is undefined. Many answers. Ex: 1 2 3 4 ⋅ 1 2 3 4 5 6 16) In the expression A ⋅ B, if A is a 3 × 5 matrix then what could be the dimensions of B? 5 × Anything-2-Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
Example 0.16. Find the transpose of the following matrices: A = 1 2 3 4 5 6 ; B = 2 4 4 1 ; C = 2 4 1 2 0 3 5 Example 0.17. Verify that A = 2 5 3 7 and B =
