Math Problem Statement
Answer
Find the element at position (i = 3, j = 2) in the given matrix.
Solution
The problem provides a matrix and specifies values for and . To find the corresponding element in the matrix, we look for the element in the 3rd row and 2nd column.
The matrix is:
5 & 0 & 1 & -1 \\ 1 & 1 & -3 & 2 \\ 3 & -3 & 4 & 5 \\ 2 & 4 & 0 & 3 \\ \end{bmatrix}$$ For $$i = 3$$ and $$j = 2$$, we need the element in the 3rd row, 2nd column. Looking at the matrix, the element in this position is: $$-3$$ So, the answer is $$-3$$. Would you like further details or have additional questions? Here are some related questions to deepen understanding: 1. What is the general method to locate an element in a matrix given indices $$i$$ and $$j$$? 2. How would you describe the dimensions of this matrix? 3. Can you determine the transpose of this matrix? 4. How would you calculate the determinant of this matrix? 5. What would be the result of multiplying this matrix by a vector? **Tip:** When locating an element in a matrix, always remember that the first index represents the row, and the second index represents the column.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Matrix
Matrix indexing
Matrix elements
Formulas
Element at (i, j) in matrix
Theorems
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Suitable Grade Level
Grades 9-12