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Let A be a {2}{2} matrix with non-zero entries and let {A}^{{2

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Let A be a $2 \times 2$ matrix with non-zero entries and let $A^{2} = I$ , where I is $2 \times 2$ identity matrix. Define Tr(A) = sum of diagonal elements of A and |A| = determinant of matrix A.Statement-1: $T r (A) = 0$ Statement-2: $∣ A ∣ = 1$

Name: Video solution 1: Let A be a 2×2 matrix with non-zero entries and let A2=I, where I is 2×2identity matrix. Define Tr(A) = sum of diagonal elements of A and |A| = determinant of matrix A.Statement-1: Tr(A)=0Statement-2: ∣A∣=1
Uploaded: 2021-01-01T18:41:02.000Z
Duration: 2 min
Description: Video solution 1: Let A be a 2×2 matrix with non-zero entries and let A2=I, where I is 2×2identity matrix. Define Tr(A) = sum of diagonal elements of A and |A| = determinant of matrix A.Statement-1: Tr(A)=0Statement-2: ∣A∣=1

Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1

Statement-1 is true, Statement-2 is false

Statement-1 is false, Statement-2 is true

Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1

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Sofia Discussed

Let A be a

2 \times 2

matrix with non-zero entries and let

A^{2} = I

, where I is

2 \times 2

identity matrix. Define Tr(A) = sum of diagonal elements of A and |A| = determinant of matrix A.Statement-1:

T r (A) = 0

Statement-2:

∣ A ∣ = 1

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Question Text	Let A be a $2 \times 2$ matrix with non-zero entries and let $A^{2} = I$ , where I is $2 \times 2$ identity matrix. Define Tr(A) = sum of diagonal elements of A and \|A\| = determinant of matrix A.Statement-1: $T r (A) = 0$ Statement-2: $∣ A ∣ = 1$
Answer Type	Video solution: 1
Upvotes	150

Let A be a 2×2 matrix with non-zero entries and let A2=I, where I is 2×2identity matrix. Define Tr(A) = sum of diagonal elements of A and |A| = determinant of matrix A.Statement-1: Tr(A)=0Statement-2: ∣A∣=1

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Let A be a $2 \times 2$ matrix with non-zero entries and let $A^{2} = I$ , where I is $2 \times 2$ identity matrix. Define Tr(A) = sum of diagonal elements of A and |A| = determinant of matrix A.Statement-1: $T r (A) = 0$ Statement-2: $∣ A ∣ = 1$