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Let A be a 3 × 7 matrix, then each column of A contains:

Solution

✅ Correct Option: 2

A matrix with dimensions 3 × 7 has 3 rows and 7 columns.

The first number (3) represents the number of rows.

The second number (7) represents the number of columns.


The matrix A can be visualized as:

[ a₁₁  a₁₂  a₁₃  a₁₄  a₁₅  a₁₆  a₁₇ ]
[ a₂₁  a₂₂  a₂₃  a₂₄  a₂₅  a₂₆  a₂₇ ]
[ a₃₁  a₃₂  a₃₃  a₃₄  a₃₅  a₃₆  a₃₇ ]

Each column extends vertically through all rows.

For example, Column 1 contains:

  • a11a_{11} from Row 1
  • a21a_{21} from Row 2
  • a31a_{31} from Row 3

This gives 3 elements in Column 1.


The same pattern applies to all 7 columns in the matrix.

The number of elements in each column equals the number of rows.

Since A has 3 rows, each column contains 3 elements.


Therefore, each column of A contains 3 elements.

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