Equality of Matrices
Trending Questions
Q. If [2−13−2]n=[1001], then n is
- any real number
- any natural number
- an odd number
- an even number
Q. If A=⎡⎢⎣12221−2a2b⎤⎥⎦, where I is a matrix satisfying the equation AAT=9I, is 3×3 identity matrix, then the ordered pair (a, b) is equal to
- (2, -1)
- (-2, 1)
- (2, 1)
- (-2, -1)
Q.
If matrix A=⎡⎢⎣abcbcacab⎤⎥⎦ where a, b, c are real positive numbers, abc = 1 and ATA=I, then the value of a3+b3+c3 is
Q. Find the number of different matrices that can be formed with elements 0, 1, 2 or 3. Each matrix having4 elements.
Q. Let a, b and c be three real numbers satisfying
[abc]⎡⎢⎣197827737⎤⎥⎦=[000] . . . (i)
Let b = 6, with a and c satisfying Eq. (i). If α and β are the roots of the quadratic equation ax2 + bx + c = 0, then ∑∞n=0(1α+1β)n is equal to
[abc]⎡⎢⎣197827737⎤⎥⎦=[000] . . . (i)
Let b = 6, with a and c satisfying Eq. (i). If α and β are the roots of the quadratic equation ax2 + bx + c = 0, then ∑∞n=0(1α+1β)n is equal to
- 6
- 7
- 67
- ∞
Q. 45. Find the no. Of different matrices that can be formed with elements 0, 1, 2or 3. Each matrix having 4 elements.
Q.
Which of the following are equal matrixes.
A=⎡⎢⎣123456789⎤⎥⎦
B=⎡⎢⎣124356789⎤⎥⎦
C=[1234]
D=⎡⎢⎣123456789⎤⎥⎦
E=[1324]
A & B are equal and C & E are equal
A &D are equal
C & E are equal
None of these
Q. If ∣∣
∣∣aba+bbcb+ca+bb+c0∣∣
∣∣ = 0; then a, b, c are in
- A. P.
- G. P.
- H. P.
- None of these
Q. Give that a, b, c are in AP. The determinant
∣∣ ∣∣x+1x+2x+ax+2x+3x+bx+3x+4x+c∣∣ ∣∣ in its simpliest form is equal to
∣∣ ∣∣x+1x+2x+ax+2x+3x+bx+3x+4x+c∣∣ ∣∣ in its simpliest form is equal to
Q. If ∣∣
∣∣x+1x+2x+3x+2x+3x+4x+ax+bx+c∣∣
∣∣=0, then a, b, c are in
- A.P.
- G.P.
- H.P.
- None of these
Q. If the matrix A=(02K−1) satisfies A(A3+3I)=2I, then the value of K is
- 12
- −1
- −12
- 1
Q. If A=⎡⎢⎣a2abacabb2bcacbcc2⎤⎥⎦ and a2+b2+c2=1, then A2=
- 4A
- 2A
- A
- 3A
Q. Let a, b and c be three real numbers satisfying
[abc]⎡⎢⎣197827737⎤⎥⎦=[000] . . . (i)
If the point P(a, b, c), with reference to Eq. (i), lies on the plane 2x + y + z = 1, then the value of 7a + b + c is
[abc]⎡⎢⎣197827737⎤⎥⎦=[000] . . . (i)
If the point P(a, b, c), with reference to Eq. (i), lies on the plane 2x + y + z = 1, then the value of 7a + b + c is
- \N
- 12
- 7
- 6
Q.
Two matrices A=[aij]p×q, B=[bij]m×n are equal if.
p=n, q=m and aij=bij ∀i, j
p=m, q=n
p=m, q=n and aij=bij ∀i, j
None of these