Simplify the Matrix 1/( square root of 30)*[[1],[2],[5],[0]]

Problem

1/√(,30)*[[1],[2],[5],[0]]

Solution

1. Identify the scalar and the vector. The scalar is the constant 1/√(,30) and the vector is a 4×1 column matrix.

2. Distribute the scalar to each individual element inside the matrix.

3. Multiply each component: 1⋅1/√(,30) 2⋅1/√(,30) 5⋅1/√(,30) and 0⋅1/√(,30)

4. Simplify the resulting fractions within the matrix.

Final Answer

1/√(,30)*[[1],[2],[5],[0]]=[[1/√(,30)],[2/√(,30)],[5/√(,30)],[0]]

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