Simplify the Matrix [[1,9,-5,-9],[6,6,7,3],[-8,7,7,3]]-6a+b

Problem

[[1,9,−5,−9],[6,6,7,3],[−8,7,7,3]]−6*a+b

Solution

1. Identify the components of the expression, which consists of a 3×4 matrix and two scalar variables, a and b

2. Determine if the terms can be combined. In matrix algebra, a matrix can only be added to or subtracted from another matrix of the same dimensions.

3. Analyze the scalar terms −6*a and b Since these are not defined as 3×4 matrices, they are treated as algebraic terms that cannot be merged into the entries of the matrix.

4. Conclude that the expression is already in its simplest form as the matrix and the variables are not like terms.

Final Answer

[[1,9,−5,−9],[6,6,7,3],[−8,7,7,3]]−6*a+b=[[1,9,−5,−9],[6,6,7,3],[−8,7,7,3]]−6*a+b

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