Simplify the Matrix

Problem

[[1,0,0,0],[0,1,1,0],[0,1,1,0],[0,0,0,1]]⋅1

Solution

1. Identify the scalar multiplication operation where the matrix is multiplied by the constant 1

2. Apply the rule for scalar multiplication, which states that every individual element (a_i*j) in the matrix is multiplied by the scalar k

3. Multiply each entry by 1 noting that (a_i*j)⋅1=(a_i*j) for all elements.

4. Simplify the resulting matrix to its final form.

Final Answer

[[1,0,0,0],[0,1,1,0],[0,1,1,0],[0,0,0,1]]⋅1=[[1,0,0,0],[0,1,1,0],[0,1,1,0],[0,0,0,1]]

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