Explanation Approach: Fundamental Matrix operations are equality, addition, subtraction, multiplication by a scalar and multiplication. Equality: Two matrices [ A ] and [ B ] are said to be equal if and only if matrices are of same order and the corresponding entries are the same. Addition: When two matrices A and B are added, the resulting matrix [ C ] is obtained if and only if the both matrices are of same order and the entries are found by adding the corresponding entries. Subtraction: When matrix B is subtracted from [ A ] , the resulting matrix [ C ] is obtained if and only if the both matrices are of same order and the entries are found by subtracting the entries of [ B ] from the corresponding entries of [ A ] . Multiplication by a scalar: If a matrix [ A ] is multiplied by the scalar (real number) x , the resulting matrix is the matrix in which each entry is multiplied by x . Multiplication: Let [ A ] be an m × r matrix and [ B ] be an r × n matrix. The product of A B = [ C ] is an m × n matrix. The entry in the i th row and j th column of [ A ] [ B ] is the sum of the products formed by multiplying each entry of the i th row of [ A ] by the corresponding entry in the j th column of B . Check whether the number of columns of [ A ] is equal to the number of rows of [ B ] Calculation: Given matrix operation is A B C A = 1 0 2 - 1 B = 2 - 1 0 1 0 1 C = 2 0 1 2 - 1 1 In order to multiply two matrices, columns of first matrix should be equal to rows of the second matrix. Check whether the number of columns of [ A ] is equal to the number of rows of [ B ] . A = 2 × 2 , B = 2 × 3 Therefore, A B = 2 × 3 matrix

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ISBN: 9780357127193

Author: SMITH

Publisher: CENGAGE L

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Chapter 16.CR, Problem 2CR

To determine

To perform:

To perform the matrix operations for ABC where

A=102-1 B=2-10101

C= 2012-11 D=010-10001-1

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Chapter 16.CR, Problem 1CR

Chapter 16.CR, Problem 3CR

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Last Chance Mine (LCM) purchased a coal deposit for $2,918,300. It estimated it would extract 18,950 tons of coal from the deposit. LCM mined the coal and sold it, reporting gross receipts of $1.24 million, $13 million, and $11 million for years 1 through 3, respectively. During years 1-3, LCM reported net income (loss) from the coal deposit activity in the amount of ($11,400), $550,000, and $502,500, respectively. In years 1-3, LCM extracted 19,950 tons of coal as follows: (1) Tons of Coal 18,950 Depletion (2) Basis (2)(1) Rate $2,918,300 $154.00 Tons Extracted per Year Year 1 4,500 Year 2 8,850 Year 3 6,600 Note: Leave no answer blank. Enter zero if applicable. Enter your answers in dollars and not in millions of dollars. a. What is LCM's cost depletion for years 1, 2, and 3? Cost Depletion Year 1 Year 2 Year 3

Chapter 16 Solutions

NATURE OF MATHEMATICS WEBASSIGN ACCESS

Ch. 16.1 - IN YOUR OWN WORDS Can you relate to the Fox Trot...Ch. 16.1 - Prob. 2PS Ch. 16.1 - Prob. 3PS Ch. 16.1 - Prob. 4PS Ch. 16.1 - Prob. 5PS Ch. 16.1 - Prob. 6PS Ch. 16.1 - Prob. 7PS Ch. 16.1 - Prob. 8PS Ch. 16.1 - Prob. 9PS Ch. 16.1 - Prob. 10PS

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To perform: To perform the matrix operations for A B C where A = 1 0 2 - 1 B = 2 - 1 0 1 0 1 C = 2 0 1 2 - 1 1 D = 0 1 0 - 1 0 0 0 1 - 1

Solution Summary: The author explains the fundamental matrix operations: equality, addition, subtraction, multiplication by a scalar, and multiplexing.

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To perform:

To perform the matrix operations for ABC where

A=102-1 B=2-10101

C= 2012-11 D=010-10001-1

Want to see the full answer?

Chapter 16 Solutions

To perform: To perform the matrix operations for A B C where A = 1 0 2 - 1 B = 2 - 1 0 1 0 1 C = 2 0 1 2 - 1 1 D = 0 1 0 - 1 0 0 0 1 - 1

Solution Summary: The author explains the fundamental matrix operations: equality, addition, subtraction, multiplication by a scalar, and multiplexing.

Videos

To perform: To perform the matrix operations for ABC where A=102-1 B=2-10101 C= 2012-11 D=010-10001-1

Want to see the full answer?

Chapter 16 Solutions

To perform:

To perform the matrix operations for ABC where

A=102-1 B=2-10101

C= 2012-11 D=010-10001-1