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MathsMediumMCQ2023 ยท 06 Apr Shift 1

Q70.Let ๐ด= ๐‘Ž๐‘–๐‘—2 ร— 2, where ๐‘Ž๐‘–๐‘—โ‰ 0 for all ๐‘–, ๐‘— and ๐ด2 = ๐ผ, Let a be the sum of all diagonal elements of ๐ด and ๐‘= ๐ด Then 3๐‘Ž2 + 4๐‘2 is equal to (1) 4 (2) 14 (3) 7 (4) 3

What This Question Tests

The question tests the understanding of matrix properties like A^2 = I, determinant, and trace for a 2x2 matrix, and then uses these properties to evaluate an expression.

Concepts Tested

Matrix multiplicationIdentity matrixDeterminant of a matrixTrace of a matrix (sum of diagonal elements)

Formulas Used

A = [[a,b],[c,d]]

A^2 = I

det(A) = ad-bc

Trace(A) = a+d

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๐Ÿ“‹ Question Details

Chapter
Matrices
Topic
Properties of matrices, determinant, trace
Year
2023
Shift
06 Apr Shift 1
Q Number
Q70
Type
MCQ
NCERT Ref
Class 12 Mathematics Ch 3: Matrices

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