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  • John Rhodes
  • July 8, 2023
  • Linear Algebra

Understanding Matrix Multiplication and Dimensions: Explaining why C, the product of matrices A and B, has the same number of columns as A and the same number of rows as B.

Suppose A, B, and C are matrices, and C = AB is defined. Then C has the same number of columns as A and the same number...
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  • John Rhodes
  • July 8, 2023
  • Linear Algebra

Investigating the Properties of Matrix Multiplication: False Statement, Matrix AB = 0

If A and B are matrices, and the product AB is the zero matrix, then A or B must be a zero matrix. To determine if the...
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  • John Rhodes
  • July 8, 2023
  • Linear Algebra

Proving C = D: All Corresponding Entries in C and D are Equal

If B, C, D, are square n x n invertible matrices and BC = BD, then C = D. To prove that C = D, we need...
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  • John Rhodes
  • July 8, 2023
  • Arithmetic

Simplify the expression (x-8)(x+3) using the distributive property

(x-8)(x+3) To simplify the expression (x-8)(x+3), we can use the distributive property of multiplication over addition To simplify the expression (x-8)(x+3), we can use the distributive property...
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  • John Rhodes
  • July 8, 2023
  • Arithmetic

Simplifying the Expression (x+7)(x-4) Using the Distributive Property and Combining Like Terms

(x+7)(x-4) To simplify the expression (x+7)(x-4), we can use the distributive property of multiplication To simplify the expression (x+7)(x-4), we can use the distributive property of multiplication....
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  • John Rhodes
  • July 8, 2023
  • Arithmetic

How to Multiply the Expression (2x+1)(x-1) and Simplify

(2x+1)(x-1) To multiply the expression (2x+1)(x-1), you can use the distributive property To multiply the expression (2x+1)(x-1), you can use the distributive property. This property states that...
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  • John Rhodes
  • July 8, 2023
  • Arithmetic

Simplifying the Expression (x+7)(x-2) using the Distributive Property

(x+7)(x-2) To multiply the expression (x+7)(x-2), we can use the distributive property and multiply each term of the first expression with each term of the second expression...
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  • John Rhodes
  • July 8, 2023
  • Arithmetic

Simplified Expression: x^2 – 9x + 18

(x-6)(x-3) To simplify the expression (x-6)(x-3), we will use the distribution property of multiplication over addition/subtraction To simplify the expression (x-6)(x-3), we will use the distribution property...
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