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• Matrices and DeterminantsJEE Main 2024, 31 Jan Shift 1If A = 2 3 4 5, then det (A) equals
• Matrices and DeterminantsJEE Main 2025, April Unspecified (session-level dataset)…9 has infinitely many solutions, then (λ² + μ²) is equal to:
• Matrices and DeterminantsJEE Main 2025, April Unspecified (session-level dataset)…e α, β and γ are real constants, then α + β + γ is equal to:
• Matrices and DeterminantsJEE Main 2025, April Unspecified (session-level dataset)…as infinitely many solutions, then the value of 22β - 9α is:
• Matrices and DeterminantsJEE Main 2025, April Unspecified (session-level dataset)…a+1) ((a-1)A))=2^(m)3ⁿ, m,n \0,1,2,,20 then m+n is equal to:
• Matrices and DeterminantsJEE Main 2025, April Unspecified (session-level dataset)…(2A)) =2^(α)3^(β)5^(γ), where α,β,γ, then α+β+γ is equal to:
• Matrices and DeterminantsJEE Main 2025, April Unspecified (session-level dataset)…+ cos x+1 27 28 27 1 1 1, x, then (d²y)/(dx²)+y is equal to:
• Matrices and DeterminantsJEE Main 2025, April Unspecified (session-level dataset)… A² - I for n≥3. Then the sum of all the elements of A⁵⁰ is:
• Matrices and DeterminantsJEE Main 2025, April Unspecified (session-level dataset)…ystem, if x,y,z are integers and satisfy 7 ≤ x+y+z ≤ 77, is:
• Matrices and DeterminantsJEE Main 2025, April Unspecified (session-level dataset)… = |A|^(3n² - 5n - 4) then Σ n S | A^(n² + n) | is equal to:
• Matrices and DeterminantsJEE Main 2025, April Unspecified (session-level dataset)…e circle centred at (λ, μ) and touching the line 4x = 3y is:
• Matrices and DeterminantsJEE Main 2025, April Unspecified (session-level dataset)…(adj(adj(3A))) = 2^(m) · 3ⁿ, m, n N, then m + n is equal to:
• Matrices and DeterminantsJEE Main 2025, January Unspecified (session-level dataset)…then the inverse of A (adj(A⁻¹) + adj(B⁻¹))⁻¹ B, is equal to
• Matrices and DeterminantsJEE Main 2025, January Unspecified (session-level dataset)…z = 9 has infinitely many solutions, then λ² + λ is equal to
• Matrices and DeterminantsJEE Main 2025, January Unspecified (session-level dataset)…. If B=adj(adj(2 A)), then the value of |B|+trace(B) equals:
• Matrices and DeterminantsJEE Main 2025, January Unspecified (session-level dataset)… R, has infinitely many solutions, then 7a + 3b is equal to:
• Matrices and DeterminantsJEE Main 2025, January Unspecified (session-level dataset)…= 212 has infinitely many solutions, then μ - 2λ is equal to
• Matrices and DeterminantsJEE Main 2025, January Unspecified (session-level dataset)…iagonal elements of C is m/n, where gcd(m,n)=1, then m+n is:
• Matrices and DeterminantsJEE Main 2025, January Unspecified (session-level dataset)…ik A jk, 1 ≤ i, j ≤ 2, and C=[C ij ], then 8|C| is equal to:
• Matrices and DeterminantsJEE Main 2025, January Unspecified (session-level dataset)…he third row of A² is α+β√(2), α, β Z, then α+β is equal to:
• Matrices and DeterminantsJEE Main 2025, January Unspecified (session-level dataset)…lutions. Then the value of Σ n=1 ¹⁰ (n^α + n^β) is equal to:
• Matrices and DeterminantsJEE Main 2025, January Unspecified (session-level dataset)… = 33 has infinitely many solutions, then λ + μ is equal to:
• Matrices and DeterminantsJEE Main 2025, January Unspecified (session-level dataset)…m x → 0 f(x) = λ + μ a + ν b. Then (λ + μ + ν)² is equal to:
• Matrices and DeterminantsJEE Main 2025, January Unspecified (session-level dataset)…z = 6, x + 2y + 5z = 9, x + 5y + λ z = μ has no solution if:
• Matrices and DeterminantsJEE Main 2025, January Unspecified (session-level dataset)…0 0 1, A 4 1 3 = 0 1 0 and A 2 1 2 = 1 0 0, then a₂₃ equals:
• Matrices and DeterminantsJEE Main 2026, 6 Apr Evening shift…θ+3y+3z=0, x+y+3z=0 has a non-trivial solution, is equal to:
• Matrices and DeterminantsJEE Main 2026, 6 Apr Evening shift…1≤ i,j≤ 3. If B=A⁹⁹-I, then the value of (b₃₁-b₂₁)/(b₃₂) is:
• Matrices and DeterminantsJEE Main 2026, 2 Apr Evening shift…itely many solutions, then the point (a, b) lies on the line
• Matrices and DeterminantsJEE Main 2026, 2 Apr Evening shift…alue of the sum of the diagonal elements of 2(P+Q) is _ _ _.
• Matrices and DeterminantsJEE Main 2026, 4 Apr Morning shift…or which the sum of the diagonal elements is equal to 4, is:
• Matrices and DeterminantsJEE Main 2026, 4 Apr Morning shift… all elements of the matrix adj(adj(2(adjA)⁻¹)) is equal to:
• Matrices and DeterminantsJEE Main 2026, 4 Apr Evening shift…z=μ has infinitely many solutions, then the value of λ+μ is:
• Matrices and DeterminantsJEE Main 2026, 4 Apr Evening shift…ircle (x-p)²+(y-2p)²=320, intersects the co-ordinate axes at
• Matrices and DeterminantsJEE Main 2026, 5 Apr Morning shift…= 1 3 1. If det (A) = 1, then det (adj(A² + A)) is equal to:
• Matrices and DeterminantsJEE Main 2026, 5 Apr Morning shift…his system has infinitely many solutions for all t R, then f
• Matrices and DeterminantsJEE Main 2026, 5 Apr Evening shift…1) 3k(k+2)+1, k, and Σ n=1 ^(k) f(n)=98, then k is equal to:
• Matrices and DeterminantsJEE Main 2026, 5 Apr Evening shift…nd M 0 0 1 = -1 1 1. If M x y z = 1 7 11, then x+y+z equals:
• Matrices and DeterminantsJEE Main 2026, 6 Apr Morning shift…-2 0 -1 0 0 -1 for some α,β. Then (α-β)² is equal to _ _ _ _
• Matrices and DeterminantsJEE Main 2026, 8 Apr Evening shift…has infinitely many solutions, then the value of λ+μ equals:
• Matrices and DeterminantsJEE Main 2026, 8 Apr Evening shift…0 0 4α -2α +adj(A). If det (B)=66, then det (adj(A)) equals:

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