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CUET Mathematics 2022 PYQs7 Aug Shift 2. Free, no login required.

Algebra

past year questions, CUET Mathematics 2022 7 Aug Shift 2

Matrices & Determinants

past year questions, Algebra, CUET Mathematics 2022 7 Aug Shift 2

Medium

Match List - I with List - II.

List - IList - II
(A)A=[6923]A = \begin{bmatrix} 6 & 9 \\ 2 & 3 \end{bmatrix}, B=[260798]B = \begin{bmatrix} 2 & 6 & 0 \\ 7 & 9 & 8 \end{bmatrix}, AB will be(I)[7511772353924]\begin{bmatrix} 75 & 117 & 72 \\ 35 & 39 & 24 \end{bmatrix}
(B)P=[8453017195]P = \begin{bmatrix} 8 & 45 & 30 \\ 17 & 19 & 5 \end{bmatrix}, Q=[67724283019]Q = \begin{bmatrix} 67 & 72 & 42 \\ 8 & 30 & 19 \end{bmatrix}, P+Q will be(II)[7511772253924]\begin{bmatrix} 75 & 117 & 72 \\ 25 & 39 & 24 \end{bmatrix}
(C)[854269734250]−[10−75−338326]\begin{bmatrix} 85 & 42 & 69 \\ 73 & 42 & 50 \end{bmatrix} - \begin{bmatrix} 10 & -75 & -3 \\ 38 & 3 & 26 \end{bmatrix}(III)[7511772254924]\begin{bmatrix} 75 & 117 & 72 \\ 25 & 49 & 24 \end{bmatrix}
(D)2[343630121820]+[75512113−16]2 \begin{bmatrix} 34 & 36 & 30 \\ 12 & 18 & 20 \end{bmatrix} + \begin{bmatrix} 7 & 55 & 12 \\ 1 & 13 & -16 \end{bmatrix}(IV)[7512772254924]\begin{bmatrix} 75 & 127 & 72 \\ 25 & 49 & 24 \end{bmatrix}

Choose the correct answer from the options given below :

Solution

✅ Correct Option: 3

(A) AB: row1 = (12+63, 36+81, 0+72) = (75, 117, 72); row2 = (4+21, 12+27, 0+24) = (25, 39, 24). Matches (II).

(B) P+Q row1 = (75, 117, 72); row2 = (25, 49, 24). Matches (III).

(C) Subtraction: row1 = (75, 117, 72); row2 = (35, 39, 24). Matches (I).

(D) row1 = (75, 127, 72); row2 = (25, 49, 24). Matches (IV).

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