Solving Matrices Question: Evaluate AB

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In summary, a matrix is a rectangular array of numbers, symbols, or expressions used in mathematics, statistics, and computer science to represent and manipulate data. To evaluate a matrix means to perform operations on it, such as addition, subtraction, multiplication, or finding the determinant or inverse. To multiply two matrices, the number of columns in the first matrix must match the number of rows in the second matrix. To find the inverse of a matrix, you can use the formula: inverse of A = (1/det(A)) * adj(A). Matrices have various applications in fields such as engineering, economics, computer graphics, and data analysis, including solving systems of linear equations, representing data in spreadsheets, and creating 3D computer graphics
  • #1
lakitu
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hi there,

my teacher gave me the following question: 1. Evaluate AB

A= (19 81)
(2 10)

B= (9 -6)
(6 -7)

The book i have tells me how to add multiply and subtract matrices, i don't understand what evaluate AB means, is it multiply>?

Kind regards

lakitu
 
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  • #2
"Evaluate AB" means "Multiply A by B".
 
  • #3
Whenever two letters are together like that it always means to multiply. AB = [tex] A \times B [/tex]
 

FAQ: Solving Matrices Question: Evaluate AB

What is a matrix?

A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. It is commonly used in mathematics, statistics, and computer science to represent and manipulate data.

What does it mean to evaluate a matrix?

Evaluating a matrix means to perform operations on the matrix, such as addition, subtraction, multiplication, or finding the determinant or inverse, in order to simplify or solve a problem.

How do I multiply two matrices?

To multiply two matrices, the number of columns in the first matrix must match the number of rows in the second matrix. Then, multiply the corresponding elements in each row of the first matrix by the corresponding elements in each column of the second matrix and add the products together to get the corresponding element in the product matrix.

How do I find the inverse of a matrix?

The inverse of a matrix is a matrix that, when multiplied by the original matrix, results in an identity matrix. To find the inverse, you can use the formula: inverse of A = (1/det(A)) * adj(A), where det(A) is the determinant of the matrix A and adj(A) is the adjugate of the matrix A.

What are some applications of matrices in real life?

Matrices are used in a variety of fields, including engineering, economics, computer graphics, and data analysis. Some specific applications include solving systems of linear equations, representing and manipulating data in spreadsheets, and creating 3D computer graphics.

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