Exhibit (a)(5)(i)
 
    LIBERTY
    MEDIA CORPORATION
 
    OFFER TO PURCHASE FOR CASH
    UP TO 19,417,476 SHARES OF ITS
    LIBERTY INTERACTIVE SERIES A COMMON STOCK
    AT A PURCHASE PRICE NOT GREATER THAN $25.75
    OR LESS THAN $23.75 PER SHARE
    
 
    THE TENDER OFFER, PRORATION
    PERIOD AND WITHDRAWAL RIGHTS
    EXPIRE AT 5:00 P.M., NEW YORK CITY TIME, ON JUNE 12,
    2007,
    UNLESS THE TENDER OFFER IS EXTENDED.
    May 15, 2007
 
    To Brokers, Dealers, Commercial Banks, Trust Companies and Other
    Nominees:
 
    Liberty Media Corporation, a Delaware corporation, has appointed
    us to act as information agent in connection with its offer to
    purchase for cash up to 19,417,476 shares of its Liberty
    Interactive Series A common stock, par value $0.01 per
    share (LINTA) from its stockholders. The shares of
    LINTA are referred to as the Shares. The tender
    offer will be conducted upon the terms and subject to the
    conditions set forth in the offer to purchase, dated
    May 15, 2007, and the related letter of transmittal of
    Liberty Media. Liberty Media is inviting stockholders to tender
    Shares at a purchase price not greater than $25.75 per
    share or less than $23.75 per share, net to the seller in
    cash, less any applicable withholding taxes, without interest,
    upon the terms and subject to the conditions of the tender offer.
 
    On the terms and subject to the conditions of the tender offer,
    Liberty Media will determine the single per share price, not
    greater than $25.75 or less than $23.75 per Share, that
    Liberty Media will pay for Shares properly tendered and not
    properly withdrawn in the tender offer, taking into account the
    total number of Shares so tendered and the prices specified by
    the tendering stockholders. Liberty Media will select the lowest
    purchase price that will allow it to purchase
    19,417,476 Shares pursuant to the tender offer, or such
    fewer number of Shares as are properly tendered and not properly
    withdrawn.
 
    Liberty Media will purchase at the purchase price all Shares
    properly tendered before the expiration date (as specified in
    the Offer to Purchase) at prices at or below the purchase price
    and not validly withdrawn, net to the seller in cash, without
    interest, upon the terms and subject to the conditions of the
    tender offer, including the odd lot, proration and
    conditional tender provisions thereof. See Section 1 of the
    Offer to Purchase. Shares tendered at prices in excess of the
    purchase price and Shares that Liberty Media does not accept for
    purchase because of the odd lot priority, proration and
    conditional tender provisions will be returned at Liberty
    Medias expense to the stockholders who tendered such
    Shares, as promptly as practicable after the expiration date.
    Liberty Media expressly reserves the right, in its sole
    discretion, to purchase more than 19,417,476 Shares in the
    tender offer, subject to applicable law.
 
    If, at the expiration date, more than 19,417,476 Shares (or
    such greater number of Shares as Liberty Media may elect to
    purchase) are properly tendered and not properly withdrawn at or
    below the purchase price for the Shares, Liberty Media will
    purchase 19,417,476 Shares (or such greater number), on the
    following basis:
 
     | 
     | 
     | 
    |   | 
         
 | 
    
    first, from all of the holders of odd lots of
    less than 100 Shares who properly tender all of their
    Shares at or below the purchase price and do not properly
    withdraw them before the expiration date;
 | 
|   | 
    |   | 
         
 | 
    
    second, from all other stockholders who properly tender
    Shares at or below the purchase price and do not properly
    withdraw them, on a pro rata basis (except for stockholders who
    tendered Shares conditionally if the condition was not
    satisfied); and
 | 
|   | 
    |   | 
         
 | 
    
    third, only if necessary to permit Liberty Media to
    purchase 19,417,476 Shares (or such greater number of
    Shares as Liberty Media may elect to accept for payment, subject
    to applicable law), from stockholders who have conditionally
    tendered Shares at or below the purchase price and do not
    properly withdraw them (if the condition was not initially
    satisfied) by random lot, to the extent feasible. To be eligible
    for purchase by random lot, stockholders whose Shares are
    conditionally tendered must have tendered all of their Shares.
 | 
 
 
    THE TENDER OFFER IS NOT CONDITIONED ON ANY MINIMUM NUMBER OF
    SHARES BEING TENDERED. THE TENDER OFFER IS, HOWEVER,
    SUBJECT TO OTHER CONDITIONS. SEE SECTION 7 OF THE OFFER TO
    PURCHASE.
 
    For your information and for forwarding to your clients for whom
    you hold Shares registered in your name or in the name of your
    nominee, we are enclosing the following documents:
 
    1. Offer to purchase, dated May 15, 2007;
 
    2. Letter to clients that you may send to your clients for
    whose accounts you hold Shares registered in your name or in the
    name of your nominee, with space provided for obtaining such
    clients instructions with regard to the tender offer;
 
    3. Letter of transmittal for your use and for the
    information of your clients (together with accompanying
    instructions and Substitute
    Form W-9); and
 
    4. Notice of guaranteed delivery to be used to accept the
    tender offer if the share certificates and all other required
    documents cannot be delivered to the depositary before the
    expiration date or if the procedure for book-entry transfer
    cannot be completed before the expiration date.
 
    WE URGE YOU TO CONTACT YOUR CLIENTS AS PROMPTLY AS POSSIBLE. THE
    TENDER OFFER, PRORATION PERIODS AND WITHDRAWAL RIGHTS WILL
    EXPIRE AT 5:00 P.M., NEW YORK CITY TIME, ON JUNE 12, 2007,
    UNLESS THE TENDER OFFER IS EXTENDED.
 
    No fees or commissions will be payable to brokers, dealers,
    commercial banks, trust companies or any person for soliciting
    tenders of Shares under the tender offer other than fees paid to
    the information agent, as described in the offer to purchase.
    Liberty Media will, however, upon request, reimburse you for
    customary mailing and handling expenses incurred by you in
    forwarding any of the enclosed materials to the beneficial
    owners of Shares held by you as a nominee or in a fiduciary
    capacity. Liberty Media will pay or cause to be paid any stock
    transfer taxes applicable to its purchase of Shares, except as
    otherwise provided in the offer to purchase.
 
    In order to take advantage of the tender offer, a properly
    completed and duly executed letter of transmittal, or a manually
    signed facsimile thereof, including any required signature
    guarantees and any other required documents, should be sent to
    the depositary with either a certificate or certificates
    representing the tendered Shares or confirmation of their
    book-entry transfer, all in accordance with the instructions set
    forth in the offer to purchase and letter of transmittal.
 
    Holders of Shares whose certificate(s) for such Shares are not
    immediately available, holders who cannot deliver such
    certificate(s) and all other required documents to the
    depositary or holders who cannot complete the procedures for
    book-entry transfer before the applicable expiration date must
    tender their shares according to the procedure for guaranteed
    delivery set forth in Section 3 of the offer to purchase.
 
    Any inquiries you may have with respect to the tender offer
    should be addressed to the information agent, D.F.
    King & Co., Inc., at the address and telephone number
    set forth on the back cover page of the offer to purchase.
 
    Additional copies of the enclosed material may be obtained from
    us, by calling:
    (212) 269-5550.
 
    Very truly yours,
 
    D.F. KING & CO., INC.
    ENCLOSURES
 
    NOTHING CONTAINED HEREIN OR IN THE ENCLOSED DOCUMENTS SHALL
    CONSTITUTE YOU OR ANY OTHER PERSON AS AN AGENT OF LIBERTY MEDIA,
    THE INFORMATION AGENT OR THE DEPOSITARY OR ANY AFFILIATE OF THE
    FOREGOING, OR AUTHORIZE YOU OR ANY OTHER PERSON TO USE ANY
    DOCUMENT OR MAKE ANY STATEMENT ON BEHALF OF ANY OF THEM IN
    CONNECTION WITH THE TENDER OFFER OTHER THAN THE DOCUMENTS
    ENCLOSED HEREWITH AND THE STATEMENTS CONTAINED THEREIN.
    
    2