Matrices and Determinants
Showing 22 of 472 · 472 total
- 451.The values of m, n, for which the system of equations [aligned & x+y+z=4, & 2 x+5 y+5 z=17…Medium
- 452.Let [ 0] and [A=[[gathered 3 - 2 gathered]]].Hard
- 453.Let A and B be two square matrices of order 3 such that [|A|=3] and [|B|=2].Medium
- 454.If the system of equations [[gathered 11 x+y+ z=-5 2 x+3 y+5 z=3 8 x-19 y-39 z= gathered]]…Medium
- 455.If A is a square matrix of order 3 such that [det(A)=3] and [det(adj(-4 adj(-3 adj(3 adj((…Hard
- 456.For [, R] and a natural number n, let [A_r=|[arrayccc r & 1 & (n^2)/(2)+ 2 r & 2 & n^2- 3 …Medium
- 457.If the system of equations [x+4 y-z=, 7 x+9 y+ z=-3,5 x+y+2 z=-1] has infinitely many solu…Hard
- 458.Let [A=[[arraylll 2 & a & 0 1 & 3 & 1 0 & 5 & b array]]].Hard
- 459.Let [, R].Medium
- 460.If the system of linear equations : [aligned & x+y+2 z=6 & 2 x+3 y+az=a+1 & -x-3 y+b z=2 ~…Medium
- 461.For a 3 3 matrix M, let trace (M) denote the sum of all the diagonal elements of M.Medium
- 462.The system of equations [aligned & x+y+z=6, & x+2 y+5 z=9, & x+5 y+ z=, aligned] has no so…Medium
- 463.If the system of equations [ aligned & (-1) x+(-4) y+ z=5 & x+(-1) y+(-4) z=7 & (+1) x+(+2…Hard
- 464.For some a, b, let f(x)=|arrayccc a+( x)/(x) & 1 & ~b a & 1+( x)/(x) & ~b a & 1 & ~b+( x)/…Medium
- 465.If the system of equations [ aligned & x+2 y-3 z=2 & 2 x+ y+5 z=5 & 14 x+3 y+ z=33 aligned…Medium
- 466.If the system of equations [aligned & 2 x-y+z=4 & 5 x+ y+3 z=12 & 100 x-47 y+ z=212 aligne…Medium
- 467.Let A = bmatrix a_ij bmatrix = bmatrix _5 128 & _4 5 _5 8 & _4 25 bmatrix .Medium
- 468.Let M and m respectively be the maximum and the minimum values of f(x)=|arrayccc 1+ ^2 x &…Hard
- 469.If the system of equations [ aligned & 2 x+ y+3 z=5 & 3 x+2 y-z=7 & 4 x+5 y+ z=9 aligned ]…Medium
- 470.Let A be a matrix of order 3 3 and |A|=5.Medium
- 471.Let A be a 3 3 matrix such that |adj(adj(adj A))|=81.Hard
- 472.Let the system of equations : [ aligned & 2 x+3 y+5 z=9 & 7 x+3 y-2 z=8 & 12 x+3 y-(4+) z=…Medium