Find the Rank [[24],[-18]]=2y

Problem

[[24],[−18]]=2*y

Solution

1. Interpret the equation as a vector equation where a column vector is equal to a scalar multiple of a variable y

2. Identify the matrix on the left side of the equation, which is a 2×1 column vector.

3. Determine the rank of the matrix by counting the number of linearly independent columns.

4. Observe that the matrix has only one column, and that column is not the zero vector.

5. Conclude that the rank of a non-zero column vector is always 1.

Final Answer

rank(24)=1

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