IPMAT Indore Matrices and Determinants previous year questions

8 Matrices and Determinants questions from IPMAT Indore 2022–2026 (Quantitative Ability), each with its answer and a step-by-step solution.

• Q5Let M= [ beginmatrix1 & 1 & 1 \\ a & b & c \a²&b²&c²endmatrix ] where a , b and c are real numbers such that a+b+c=0…IPMAT Indore 2026 · Quantitative Ability · Matrices and Determinants
• Q41If A= [ beginmatrix1 & 1 \\ 0 & 1endmatrix ] , then the determinant of A+A²+A³+cdots +A¹³ isIPMAT Indore 2026 · Quantitative Ability · Matrices and Determinants
• Q13If A= [ beginmatrix2 & n \\ 4 & 1endmatrix ] such that A³=27 [ beginmatrix4 & q \\ p & rendmatrix ] , then p+q+r…IPMAT Indore 2025 · Quantitative Ability · Matrices and Determinants
• Q12If A= [ beginmatrixx_1&x_2& 7 \y_1&y_2&y_3\z_1& 8 & 3endmatrix ] is a matrix such that the sum of all three elements…IPMAT Indore 2024 · Quantitative Ability · Matrices and Determinants
• Q26If A= [ beginmatrix1 & 2 \\ 3 & aendmatrix ] , where a is a real number and det (A³-3A²-5A )=0 , then one of the…IPMAT Indore 2023 · Quantitative Ability · Matrices and Determinants
• Q7If A= [ beginmatrix1 & 0 & 0 \\ 0 & 0 & 1 \\ 0 & 1 & 0endmatrix ] , then the absolute value of the determinant of…IPMAT Indore 2022 · Quantitative Ability · Matrices and Determinants
• Q25Suppose a , b and c are integers such that a>b>c>0 , and A= [ beginmatrixa & b & c \\ b & c & a \\ c & a & bendmatrix…IPMAT Indore 2022 · Quantitative Ability · Matrices and Determinants
• Q26If A= [ beginmatrix1 & 0 \\ (1)/(2)& 0endmatrix ] then A²⁰²² isIPMAT Indore 2022 · Quantitative Ability · Matrices and Determinants