Matrices questions
472 published questions with worked solutions.
- If a, b, c are non-zero real numbers and if the system of equations (a - 1)x = y + z, (b - 1)y = x + z, (c - 1)z = x + y, has a...
- Let A be a 3 3 matrix such that A bmatrix 1 & 2 & 3 0 & 2 & 3 0 & 1 & 1 bmatrix = bmatrix 0 & 0 & 1 1 & 0 & 0 0 & 1 & 0 bmatrix ....
- If A = bmatrix 1 & 2 & x 3 & -1 & 2 bmatrix and B = bmatrix y 1 bmatrix be such that AB = bmatrix 6 8 bmatrix , then:
- Let A and B be any two 3 3 matrices. If A is symmetric and B is skew symmetric, then the matrix AB − BA is
- Which one of the following matrices can be obtained by performing elementary row transformations on the 3 × 3 identity matrix ?
- The value of vmatrix 1 & 1 & 1 (2^x+2^ -x )^2 & (3^x+3^ -x )^2 & (5^x+5^ -x )^2 (2^x-2^ -x )^2 & (3^x-3^ -x )^2 & (5^x-5^ -x )^2...
- If the equations a(y+z)=x, b(z+x)=y and c(x+y)=z, where a -1, b -1, c -1, admit of nontrivial solutions then (1+a)^ -1 +(1+b)^ -1...
- The arbitrary constant on which the value of the determinant vmatrix 1 & & ^2 (p-d)a & pa & (p-d)a (p-d)a & pa & (p-d)a vmatrix...
- If A= bmatrix 1&-2&4 2&3&2 3&1&5 bmatrix and B= bmatrix 0&-2&4 1&3&2 -1&1&5 bmatrix then A+B is
- If A^2=8A+kI where A= bmatrix 1&0 -1&7 bmatrix then k is
- The matrix bmatrix &7&-2 4&1&3 2&-1&2 bmatrix is a singular matrix if is
- If the matrix A= bmatrix a&b &d bmatrix then A^2 is
- If A= bmatrix &0 1&1 bmatrix and B= bmatrix 1&0 5&1 bmatrix such that A^2=B then is
- If bmatrix 2&-3 1& bmatrix bmatrix 1&5& 0&2&-3 bmatrix = bmatrix 2&4&1 1&-1&13 bmatrix then
- If A= bmatrix 0&-4&1 2& &-3 1&2&-1 bmatrix then A^ -1 exists (i.e., A is invertible) if
- The reciprocal matrix of bmatrix 1&0&2 0&1&-1 1&2&1 bmatrix is
- If A= bmatrix 1&-1&1 1&2&0 1&3&0 bmatrix then the value of | adj A| is equal to
- If A= bmatrix &- &0 & &0 0&0&1 bmatrix then A^ -1 is equal to
- If A= bmatrix 4&-1&-4 3&0&-4 3&-1&-3 bmatrix then A^2 is equal to
- If f(x)= bmatrix x&- x&0 x& x&0 0&0&1 bmatrix then f(x+y) is equal to
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