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Algebra 2 Unit 7

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
Matrix   Is a rectangular array of numbers writtenwithin brackets. You represent a matrix with a capital letter and classify itby its dimensions. The number of horizontal rows and the number ofvertical columns determine the dimension of a matrix.  
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Matrix Element   Each number in a matrix is a matrix element. You can identify a matrixelement by its position within the matrix. Use a lowercase letter withsubscripts. The subscripts represent the element’s row number andcolumn number.  
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Matrix Dimensions   1st number is vertical location, 2nd number is horizontal location of the element  
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Matrix Addition   is performed on matrices with the same dimensions  
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Zero Matrix   is a matrix whose elements are all zeros. This is called theadditive identity because when you add it to any matrix you result in theoriginal matrix.  
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Matrix Subtraction   is used when two matrices have the samedimensions  
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Matrix Equation   is an equation in which the variable is a matrix. Youcan use the addition and subtraction properties of equality to solvematrix equations.  
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Equal Matrices   Two or more matrices with the same value.  
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Scalar Multiplication   when you multiply a matrix by a real number. Youmultiply each element in the matrix by the factor.  
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Matrix Multiplication   Multiply the elements of each row of the firstmatrix by the elements of each column of the second matrix. Add theproducts. You can only multiply two matrices if the number of columns inthe first matrix equal the number of rows in the second matrix.  
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Dimensions of a Poduct   1st # representing the vertical value, 2nd # representing the horizontal value.  
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Square Matrix   is a matrix with the same number of columns as rows.  
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Muliplicative Identity Matrix   Is a square matrix with 1’s along the main diagonal.  
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Muliplicative Inverse of a Matrix   When you multiply two matrices together and get an identity matrix thenthe original matrices are inverses of each other.  
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Determinant   det(matrix  
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Solving Systems With Matrices   taking out the number for every variable, then put them in a matrix and solve like a regular system.  
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