Question: Expand across the first row to derive the formula for the determinant of a 3 3 matrix.

Expand across the first row to derive the formula for the determinant of a 3 × 3 matrix.

Step by Step Solution

★★★★★

3.57 Rating (178 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The determin... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

961-M-L-A-L-S (5693).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Q:

Compute the determinants in Exercises 1-2 using a cofactor expansion across the first row. In Exercises 1-2, also compute the 3. determinant by a cofactor expansion down the second column. 1. 2. 421...

Q:

(b) Illustrate by adding -2 times the first row to the third row of 2 A=12-3

Q:

The idea is that elementary operations can be accomplished by matrix multiplication. If A is an m x n matrix on which we want to do an elementary operation, then there is a matrix E such that EA is...

Q:

Compute the determinants in Exercises 1-8 using a cofactor ex- pansion across the first row. In Exercises 1-4, also compute the determinant by a cofactor expansion down the second column. C 4 3 -NA...

Q:

1. Find the inverse of the matrix. 6 2 8 3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The inverse matrix is (Type an integer or simplified...

Q:

Please answer Q4. Combine the methods of row reduction and cofactor expansion to compute the determinants in Exercises 11-14. 4 -3 -1 2 1 -3 3 4 11. 12. waoo A a WW 0 0 0+ a a w w -4 3 11 4 -4 4 2 L...

Q:

Q3. Let a1, 02,..., an be distinct elements of a field K. Consider the Vandermonde matrix 1 1 -(45) 1 an an V := (i) Compute the determinant det (V) when n = 2. (ii) Use induction to show that n-1...

Q:

1 2 3 4 OT Using a cofactor expansion across the first row, find 7 8 (Hint the cofactor expansion across the first row is All A12 p13 all A12 013 All 12 213 + a13 a21 a22 A23 - a12 a21 122 a23 a31...

Q:

Compute the determinant of the following matrix using a cofactor expansion across the first row. 37 -6 60 5 2 3 Compute the determinant using a cofactor expansion across the first row. Select the...

Q:

Find the determinant of the following 3 x 3 matrix by expanding across the first row. 1 -1 1 1 -1 1 -1 -1 -1Find the determinant of the following 3 X 3 matrix by expanding across any row or down any...

Q:

Kenny received a 120 days, 12% interest bearing note which is dated on 3 April 2019. Later on 29 May 2019, he went to bank to discount the note with 7% interest rate and received RM2500. Determine:...

Q:

A stone at the end of a sling is whirled in a vertical circle of radius 1.20 m at a constant speed v0 = 1.50 m/s as in Figure P4.57. The center of the sling is 1.50 m above the ground. What is the...

Q:

Which market structure has the most number of sellers? a) monopoly b) oligopoly c) monopolistic competition d) perfect competition

Q:

The Conference Board (www.conference-board. org) publishes a Leading Economic Indicators (LEI) index for the euro zone. a. How is this index calculated compared to the LEI for the United States? b....

Q:

If L is a linear transformation from V to IV, use mathematical induction to prove that L(a1v1 + a2v2 +...... + anvn) = a1L(V2) + a2L(v2) +.......+ anL(vn)

Q:

Let (v1,...,vn) be a basis for a vector space V, and let L1 and L2 be two linear transformations mapping V into a vector space W. Show that if L1(v1) = L2(v1) for each i = I,... ,11 then L1 = L2...

Q:

Let L be a linear operator on R1 and let a = L(l). Show that L(x) = ax for all .v R1

Q:

Last week, you sold 3 0 0 shares of ABC stock for $ 6 , 3 0 0 . The sale was a short sale with an initial margin requirement of 7 0 % . The maintenance margin is 4 0 % . Some positive news concerning...

Q:

please help 5 Both Bond Sam and Bond Dave have 9 percent coupons, make semiannual payments, and are priced at par value. Bond Sam has five years to maturity, whereas Bond Dave has 18 years to...

Q:

6. Why is it best to hold zero coupon bonds in a tax-deferred account like a 401K? A. Zero coupon bonds are tax exempt B. The IRS requires the holders of zero coupon bonds to pay taxes on the...