A Curriculum Unit for Developing
... For example: If $84 is to be shared equally among a group of children, the amount of money each child receives can be determined using the number sentence 84 ÷ n = d. Another example: Find values of the unknowns that make each number sentence true: 12 × m = 36 s = 256 ÷ t. ...
... For example: If $84 is to be shared equally among a group of children, the amount of money each child receives can be determined using the number sentence 84 ÷ n = d. Another example: Find values of the unknowns that make each number sentence true: 12 × m = 36 s = 256 ÷ t. ...
Exam 2 Sol
... (b) (8 points) Is A invertible? If yes, find the inverse. If not, justify your answer. (c) (4 points) ~v1 , ~v2 , ~v3 , ~v4 are the column vectors of the matrix A. For what values of a,b,c,d is ~v5 = [a b c d]T in Span{~v1 , ~v2 , ~v3 , ~v4 }? Justify your answer. solution: ...
... (b) (8 points) Is A invertible? If yes, find the inverse. If not, justify your answer. (c) (4 points) ~v1 , ~v2 , ~v3 , ~v4 are the column vectors of the matrix A. For what values of a,b,c,d is ~v5 = [a b c d]T in Span{~v1 , ~v2 , ~v3 , ~v4 }? Justify your answer. solution: ...
No Slide Title
... – Addition: add any two vectors v and v ' pertaining to a vector space, say Cn, obtain a vector, ...
... – Addition: add any two vectors v and v ' pertaining to a vector space, say Cn, obtain a vector, ...
4.1 Organizing Data Into Matrices 4.1
... matrix element. A matrix element is identified by its position within the matrix. A lowercase letter with subscripts is used to name the element The subscripts represent the element’s row number and column number. ...
... matrix element. A matrix element is identified by its position within the matrix. A lowercase letter with subscripts is used to name the element The subscripts represent the element’s row number and column number. ...
Revision 07/05/06
... The process of multiplying matrices is a frequently taught topic in secondary mathematics courses. However only the process is taught; the explanation of why process works is left out of the teaching of this concept. What makes the process of teaching matrix multiplication different was the inclusio ...
... The process of multiplying matrices is a frequently taught topic in secondary mathematics courses. However only the process is taught; the explanation of why process works is left out of the teaching of this concept. What makes the process of teaching matrix multiplication different was the inclusio ...
Linear Equations and Gaussian Elimination
... Solve by removing x and y, to find z, and thence find x and y. First equation * 2 - second equation * 3 gives 8y - 3z = -1 That equation - third equation * 8 gives -19z = -57, so z = 3. So y = 7 - 2z = 1 2x = 7 - z = 4 So x=2 We now present a matrix method for doing that. p1 RJM 07/08/02 ...
... Solve by removing x and y, to find z, and thence find x and y. First equation * 2 - second equation * 3 gives 8y - 3z = -1 That equation - third equation * 8 gives -19z = -57, so z = 3. So y = 7 - 2z = 1 2x = 7 - z = 4 So x=2 We now present a matrix method for doing that. p1 RJM 07/08/02 ...
