Matrices questions
472 published questions with worked solutions.
- Let A= bmatrix x & 1 1 & 0 bmatrix , x IR^ + and A^4=[a_ ij ]_ 2 2 . If a_ 11 =109, then (A^4)^ -1 =
- If A = bmatrix 3 & 0 & 0 0 & -5 & 0 0 & 0 & 7 bmatrix ; B = bmatrix -1 & 0 & 0 0 & 2 & 0 0 & 0 & 4 bmatrix then, (2A + 3B)^ -1 =...
- If A = bmatrix 1 & - 2 2 & 1 bmatrix and B = bmatrix 1 & 2 - 2 & 1 bmatrix then A^ -1 B is equal to
- If A is a non-singular matrix and A^2 - A + I = 0, then A^ -1 =
- If the matrix A= bmatrix 4&1 3&2 bmatrix is expressed as the sum of a symmetric matrix B and a skew symmetric matrix C then which...
- Let A= bmatrix -3&2 1&4 bmatrix and if A^2-2A+I= bmatrix 18&p &11 bmatrix , then ....
- If matrix A and its inverse A^ -1 are given by A= bmatrix 0&1&2 1&2&3 3&x&1 bmatrix and A^ -1 = bmatrix 12&- 12& 12 -4&3&y 52&-...
- Let A = bmatrix 3&-4 1&-1 bmatrix and B = bmatrix 6&-13 5&-10 bmatrix be two matrices. If the variables x and y satisfy the...
- Let A = bmatrix &- &0 & &0 0&0&1 bmatrix . If B = adj A, then the matrix B^ -1 is equal to
- If A = bmatrix 1 & 2 -1 & 4 bmatrix and A^ -1 = I + A, , R where I is the identity matrix of order 2, then 4( + ) =
- The inverse of the matrix A= bmatrix 2&-1&4 4&-3&1 1&2&1 bmatrix is B= 1 37 bmatrix -5&9&11 -3&-2&14 11&-5&k bmatrix , then the...
- If matrix A= bmatrix -1&2025&2026 0&2&2027 0&0&-1 bmatrix , then the sum of all elements in adj (A^ -1 ) is equal to...
- The inverse of matrix bmatrix 1+pq & p & 0 q & 1+pq & p 0 & q & 1 bmatrix is …
- If A=[a_ ij ]_ 3 3 , where a_ ij = cases 1, & if i+j is even 0, & if i+j is odd cases , then adj (A)= …..
- If bmatrix 1&3&3 1&4&4 1&3&4 bmatrix bmatrix x bmatrix = bmatrix 12 15 13 bmatrix , then the value of x^2+y^2+z^2 =
- If A = bmatrix 1 & x - x & 1 bmatrix , then A^TA^ -1 =
- If A = bmatrix 1 & -5 -2 & 4 bmatrix , then A^ -1 =
- Let A= bmatrix a&1 1&b bmatrix , where a and b are the roots of the equation x^2 - 4x + 2 = 0. If A + A^ -1 = kI_2, then the...
- If A= bmatrix 3&2&6 1&1&2 2&2&5 bmatrix , B= bmatrix 1 0 1 bmatrix such that XA = B^T and A^ -1 Y = B, then XY =
- Let A be a non-singular matrix of order n and |A| = k, then ( adj A)^ -1 is
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