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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
exams
Matrices & Determinants notesOpen all 13 in the paper builder

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13 questions whose solution uses this

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Showing 13 of 13 questions — easiest first, then oldest paper first.

  • #1Maharashtra HSC Class 12 → Mathematics → Matrices → Elementary Transformations of a Matrix

  • #2CBSE Class 12 → Mathematics → Matrices → Multiplication of Matrices

  • #3CBSE Class 12 → Mathematics → Matrices → Order and Types of Matrices

    Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the codes (A), (B), (C) and (D) as given below.

  • #4CBSE Class 12 → Mathematics → Matrices → Order and Types of Matrices

  • #5CBSE Class 12 → Mathematics → Matrices → Order and Types of Matrices

  • #6CBSE Class 12 → Mathematics → Matrices → Order and Types of Matrices

  • #7CBSE Class 12 → Mathematics → Matrices → Multiplication of Matrices

  • #8CBSE Class 12 → Mathematics → Matrices → Order and Types of Matrices

    ASSERTION – REASON BASED QUESTIONS Direction : Question number 19 and 20 are Assertion (A) and Reason (R) based questions. Two statements are given, one labelled Assertion (A) and other labelled Reason (R). Select the correct answer from the options (A), (B), (C) and (D) as given below :

  • #9CBSE Class 12 → Mathematics → Matrices → Order and Types of Matrices

  • #10CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices

  • #11NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse

  • #12NDA → Mathematics → Matrices & Determinants → Special Determinants — Trig, Complex, Roots of Unity, Polynomial

  • #13CBSE Class 12 → Mathematics → Matrices → Order and Types of Matrices

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

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