CUET MathematicsAlgebra > Easycore(A), (C) and (D) only(A), (B) and (C) only(A), (B), (C) and (D)(B), (C) and (D) only✅ Correct Option: 4Related questions:14 May Shift 1If PPP, QQQ and RRR are three singular matrices given by P=[23a43]P = \begin{bmatrix} 2 & 3a \\ 4 & 3 \end{bmatrix}P=[243a3], Q=[b52a6]Q = \begin{bmatrix} b & 5 \\ 2a & 6 \end{bmatrix}Q=[b2a56] and R=[a2+b2−c1−cc+1c]R = \begin{bmatrix} a^2 + b^2 - c & 1 - c \\ c + 1 & c \end{bmatrix}R=[a2+b2−cc+11−cc], then the value of (2a+6b+17c)(2a + 6b + 17c)(2a+6b+17c) is2 June Shift 1If AAA is an invertible matrix of order 3, then Match List-I with List-II List-IList-II(A) ∣adjA∣|\text{adj} A|∣adjA∣(I) 8∣A∣8|A|8∣A∣(B) ∣A(adjA)∣|A(\text{adj} A)|∣A(adjA)∣(II) ∣A∣2|A|^2∣A∣2(C) ∣2A∣|2A|∣2A∣(III) 1∣A∣\frac{1}{|A|}∣A∣1(D) ∣A−1∣|A^{-1}|∣A−1∣(IV) ∣A∣3|A|^3∣A∣3 Choose the correct answer from the options given below:3 June Shift 2If A is an invertible matrix, then which of the following statement(s) is/are TRUE? (A) ∣A−1∣=∣A∣|A^{-1}| = |A|∣A−1∣=∣A∣ (B) (A−1)−1=A(A^{-1})^{-1} = A(A−1)−1=A (C) A−1=adjA∣A∣A^{-1} = \frac{adj A}{|A|}A−1=∣A∣adjA (D) (AT)−1=(A−1)T(A^T)^{-1} = (A^{-1})^T(AT)−1=(A−1)T Choose the correct answer from the options given below: