Q74.If x→0{ x ε R and A4 = [aij]. If a11 = 109, then a22 is equal to_____________.
What This Question Tests
This problem requires repeated matrix multiplication to find the elements of a higher power of a matrix, then solving an equation for x based on a given element and finding another element.
Concepts Tested
Formulas Used
Matrix multiplication rule (AB)_ij = Σ_k A_ik B_kj
📚 NCERT Sections This Tests
4.4 — A Horizontal Overhead Power Line Carries A Current Of 90 A In East To
Physics Class 11 · Chapter 4
4.4 A horizontal overhead power line carries a current of 90 A in east to west direction. What is the magnitude and direction of the magnetic field due to the current 1.5 m below the line?
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
3.23 — The Rate Constant For The Decomposition Of Hydrocarbons Is 2.418 × 10–5S–1
Chemistry Class 11 · Chapter 3
3.23 The rate constant for the decomposition of hydrocarbons is 2.418 × 10–5s–1 at 546 K. If the energy of activation is 179.9 kJ/mol, what will be the value of pre-exponential factor.
📋 Question Details
- Chapter
- Matrices
- Topic
- Matrix multiplication, powers of a matrix, elements of a matrix
- Year
- 2020
- Shift
- 03 Sep Shift 1
- Q Number
- Q74
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 3: Matrices
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