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Property

Scalar matrices

A=kIA = kI
kk
the common diagonal entry
II
the identity matrix

A scalar matrix is a diagonal matrix whose diagonal entries are all equal, so it behaves like the scalar k in every product.

13
questions use it
11
of them past-year
2015–2026
years it has appeared
0%
rated HARD
3
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Matrices & Determinants notesOpen all 13 in the paper builder

Used alongside

How often each of these appears in the same solution as this one.

13 questions whose solution uses this

Every one was read individually — a question is here because its solution invokes this, not because the stem mentions it.

Every identity this chapter tests, with its own question set.

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