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Find the order of the matrix [(4,2,3,7),...

Find the order of the matrix `[(4,2,3,7),(11,4,1,1),(4,3,0,14)] `

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The correct Answer is:
To find the order of the given matrix `[(4,2,3,7),(11,4,1,1),(4,3,0,14)]`, we need to determine the number of rows and columns in the matrix. ### Step-by-Step Solution: 1. **Identify the Rows:** - A row in a matrix is a horizontal line of elements. - In the given matrix, we can see: - First row: (4, 2, 3, 7) - Second row: (11, 4, 1, 1) - Third row: (4, 3, 0, 14) - Count the rows: There are 3 rows in total. 2. **Identify the Columns:** - A column in a matrix is a vertical line of elements. - In the given matrix, we can see: - First column: 4, 11, 4 - Second column: 2, 4, 3 - Third column: 3, 1, 0 - Fourth column: 7, 1, 14 - Count the columns: There are 4 columns in total. 3. **Write the Order of the Matrix:** - The order of a matrix is expressed in the format of R x C, where R is the number of rows and C is the number of columns. - From our counts, we have R = 3 and C = 4. - Therefore, the order of the matrix is 3 x 4. ### Final Answer: The order of the matrix is **3 x 4**.
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Knowledge Check

  • The inverse of the matrix [(3,-2),(1,4)] is

    A
    `[((4)/(14),(2)/(14)),((-1)/(14),(3)/(14))]`
    B
    `[((3)/(14),(-2)/(14)),((1)/(14),(4)/(14))]`
    C
    `[((4)/(14),(-2)/(14)),((1)/(14),(3)/(14))]`
    D
    `[((3)/(14),(2)/(14)),((1)/(14),(4)/(14))]`
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